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28370382960 = 24354127110639
BaseRepresentation
bin11010011011000000…
…011011000001110000
32201020011212210001110
4122123000123001300
5431100304223320
621011055433320
72023021163523
oct323300330160
981204783043
1028370382960
1111039383697
1255b9225840
1328a188c76a
141531c44bba
15b10a295e0
hex69b01b070

28370382960 has 160 divisors (see below), whose sum is σ = 90434211840. Its totient is φ = 7352985600.

The previous prime is 28370382881. The next prime is 28370383073. The reversal of 28370382960 is 6928307382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2661321 + ... + 2671959.

It is an arithmetic number, because the mean of its divisors is an integer number (565213824).

Almost surely, 228370382960 is an apocalyptic number.

28370382960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28370382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45217105920).

28370382960 is an abundant number, since it is smaller than the sum of its proper divisors (62063828880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28370382960 is a wasteful number, since it uses less digits than its factorization.

28370382960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10967 (or 10961 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

It can be divided in two parts, 283703 and 82960, that added together give a palindrome (366663).

The spelling of 28370382960 in words is "twenty-eight billion, three hundred seventy million, three hundred eighty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 271 328 410 492 542 615 656 813 820 984 1084 1230 1355 1626 1640 1968 2168 2460 2710 3252 3280 4065 4336 4920 5420 6504 8130 9840 10639 10840 11111 13008 16260 21278 21680 22222 31917 32520 33333 42556 44444 53195 55555 63834 65040 66666 85112 88888 106390 111110 127668 133332 159585 166665 170224 177776 212780 222220 255336 266664 319170 333330 425560 436199 444440 510672 533328 638340 666660 851120 872398 888880 1276680 1308597 1333320 1744796 2180995 2553360 2617194 2666640 2883169 3489592 4361990 5234388 5766338 6542985 6979184 8649507 8723980 10468776 11532676 13085970 14415845 17299014 17447960 20937552 23065352 26171940 28831690 34598028 34895920 43247535 46130704 52343880 57663380 69196056 86495070 104687760 115326760 118209929 138392112 172990140 230653520 236419858 345980280 354629787 472839716 591049645 691960560 709259574 945679432 1182099290 1418519148 1773148935 1891358864 2364198580 2837038296 3546297870 4728397160 5674076592 7092595740 9456794320 14185191480 28370382960