28960209797760 has 512 divisors, whose sum is σ = 104414144486400. Its totient is φ = 7584374476800.

The previous prime is 28960209797737. The next prime is 28960209797777. The reversal of 28960209797760 is 6779790206982.

28960209797760 is a `hidden beast` number, since 2 + 8 + 9 + 602 + 0 + 9 + 7 + 9 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383180775 + ... + 383256345.

It is an arithmetic number, because the mean of its divisors is an integer number (203933875950).

Almost surely, 2^{28960209797760} is an apocalyptic number.

28960209797760 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 28960209797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52207072243200).

28960209797760 is an abundant number, since it is smaller than the sum of its proper divisors (75453934688640).

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

28960209797760 is a wasteful number, since it uses less digits than its factorization.

28960209797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75997 (or 75979 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 28960209797760 in words is "twenty-eight trillion, nine hundred sixty billion, two hundred nine million, seven hundred ninety-seven thousand, seven hundred sixty".