28876538880 has 1100 divisors, whose sum is σ = 124878831660. Its totient is φ = 6372753408.

The previous prime is 28876538879. The next prime is 28876538953. The reversal of 28876538880 is 8883567882.

28876538880 is a `hidden beast` number, since 28 + 8 + 76 + 538 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12745506816 + 16131032064 = 112896^2 + 127008^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 995742706 + ... + 995742734.

Almost surely, 2^28876538880 is an apocalyptic number.

28876538880 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 28876538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62439415830).

28876538880 is an abundant number, since it is smaller than the sum of its proper divisors (96002292780).

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

28876538880 is an frugal number, since it uses more digits than its factorization.

28876538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

It can be divided in two parts, 288765 and 38880, that added together give a triangular number (327645 = T₈₀₉).

The spelling of 28876538880 in words is "twenty-eight billion, eight hundred seventy-six million, five hundred thirty-eight thousand, eight hundred eighty".