28737192960 has 880 divisors, whose sum is σ = 124120909440. Its totient is φ = 6210846720.

The previous prime is 28737192943. The next prime is 28737192977. The reversal of 28737192960 is 6929173782.

28737192960 is a `hidden beast` number, since 287 + 3 + 71 + 9 + 296 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28737192943) and next prime (28737192977).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28737192897 and 28737192906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55157500 + ... + 55158020.

It is an arithmetic number, because the mean of its divisors is an integer number (141046488).

Almost surely, 2^28737192960 is an apocalyptic number.

28737192960 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 28737192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62060454720).

28737192960 is an abundant number, since it is smaller than the sum of its proper divisors (95383716480).

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

28737192960 is a wasteful number, since it uses less digits than its factorization.

28737192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 28737192960 in words is "twenty-eight billion, seven hundred thirty-seven million, one hundred ninety-two thousand, nine hundred sixty".