28902980677032 has 512 divisors, whose sum is σ = 105271551590400. Its totient is φ = 7124310547200.

The previous prime is 28902980677019. The next prime is 28902980677057. The reversal of 28902980677032 is 23077608920982.

28902980677032 is a `hidden beast` number, since 289 + 0 + 298 + 0 + 67 + 7 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48284607 + ... + 48879537.

It is an arithmetic number, because the mean of its divisors is an integer number (205608499200).

Almost surely, 2^{28902980677032} is an apocalyptic number.

28902980677032 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 28902980677032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52635775795200).

28902980677032 is an abundant number, since it is smaller than the sum of its proper divisors (76368570913368).

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

28902980677032 is a wasteful number, since it uses less digits than its factorization.

28902980677032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595114 (or 595104 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 28902980677032 in words is "twenty-eight trillion, nine hundred two billion, nine hundred eighty million, six hundred seventy-seven thousand, thirty-two".