28880953920 has 896 divisors, whose sum is σ = 126923596800. Its totient is φ = 6019743744.

The previous prime is 28880953909. The next prime is 28880953957. The reversal of 28880953920 is 2935908882.

28880953920 is a `hidden beast` number, since 2 + 8 + 8 + 80 + 9 + 539 + 20 = 666.

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

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, 85699992 + ... + 85700328.

It is an arithmetic number, because the mean of its divisors is an integer number (141655800).

Almost surely, 2^28880953920 is an apocalyptic number.

28880953920 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 28880953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63461798400).

28880953920 is an abundant number, since it is smaller than the sum of its proper divisors (98042642880).

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

28880953920 is a wasteful number, since it uses less digits than its factorization.

28880953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 28880953920 in words is "twenty-eight billion, eight hundred eighty million, nine hundred fifty-three thousand, nine hundred twenty".