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28312480 = 2557171487
BaseRepresentation
bin110110000000…
…0001110100000
31222021102102101
41230000032200
524221444410
62450500144
7462436450
oct154001640
958242371
1028312480
1114a88649
129594654
135b33b61
143a8dd60
152743d3a
hex1b003a0

28312480 has 96 divisors (see below), whose sum is σ = 80994816. Its totient is φ = 9129984.

The previous prime is 28312477. The next prime is 28312499. The reversal of 28312480 is 8421382.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18297 + ... + 19783.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 228312480 is an apocalyptic number.

28312480 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 28312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40497408).

28312480 is an abundant number, since it is smaller than the sum of its proper divisors (52682336).

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

28312480 is a wasteful number, since it uses less digits than its factorization.

28312480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 28312480 is about 5320.9472840839. The cubic root of 28312480 is about 304.7843319929.

The spelling of 28312480 in words is "twenty-eight million, three hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1487 1904 2380 2720 2974 3808 4760 5948 7435 9520 10409 11896 14870 19040 20818 23792 25279 29740 41636 47584 50558 52045 59480 83272 101116 104090 118960 126395 166544 176953 202232 208180 237920 252790 333088 353906 404464 416360 505580 707812 808928 832720 884765 1011160 1415624 1665440 1769530 2022320 2831248 3539060 4044640 5662496 7078120 14156240 28312480