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28507290372 = 223211317132707
BaseRepresentation
bin11010100011001010…
…101011101100000100
32201120201111101201100
4122203022223230010
5431340331242442
621032430100100
72026302653511
oct324312535404
981521441640
1028507290372
11110a9693210
12563704a630
1328c4056272
1415460c2308
15b1ca6e84c
hex6a32abb04

28507290372 has 144 divisors (see below), whose sum is σ = 82292281344. Its totient is φ = 8241912000.

The previous prime is 28507290349. The next prime is 28507290373. The reversal of 28507290372 is 27309270582.

28507290372 is a `hidden beast` number, since 28 + 507 + 2 + 90 + 37 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (28507290373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855243 + ... + 887949.

It is an arithmetic number, because the mean of its divisors is an integer number (571474176).

Almost surely, 228507290372 is an apocalyptic number.

28507290372 is a gapful number since it is divisible by the number (22) 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 28507290372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41146140672).

28507290372 is an abundant number, since it is smaller than the sum of its proper divisors (53784990972).

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

28507290372 is a wasteful number, since it uses less digits than its factorization.

28507290372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32830 (or 32825 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 28507290372 in words is "twenty-eight billion, five hundred seven million, two hundred ninety thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 71 93 99 124 132 142 186 198 213 279 284 341 372 396 426 558 639 682 781 852 1023 1116 1278 1364 1562 2046 2201 2343 2556 3069 3124 4092 4402 4686 6138 6603 7029 8804 9372 12276 13206 14058 19809 24211 26412 28116 32707 39618 48422 65414 72633 79236 96844 98121 130828 145266 196242 217899 290532 294363 359777 392484 435798 588726 719554 871596 1013917 1079331 1177452 1439108 2027834 2158662 2322197 3041751 3237993 4055668 4317324 4644394 6083502 6475986 6966591 9125253 9288788 11153087 12167004 12951972 13933182 18250506 20899773 22306174 25544167 27866364 33459261 36501012 41799546 44612348 51088334 66918522 71988107 76632501 83599092 100377783 102176668 133837044 143976214 153265002 200755566 215964321 229897503 287952428 306530004 401511132 431928642 459795006 647892963 791869177 863857284 919590012 1295785926 1583738354 2375607531 2591571852 3167476708 4751215062 7126822593 9502430124 14253645186 28507290372