28631024640 has 880 divisors, whose sum is σ = 112992827904. Its totient is φ = 6900940800.

The previous prime is 28631024581. The next prime is 28631024687. The reversal of 28631024640 is 4642013682.

28631024640 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 1 + 0 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28631024595 and 28631024604.

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, 218557375 + ... + 218557505.

Almost surely, 2^28631024640 is an apocalyptic number.

28631024640 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 28631024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56496413952).

28631024640 is an abundant number, since it is smaller than the sum of its proper divisors (84361803264).

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

28631024640 is a wasteful number, since it uses less digits than its factorization.

28631024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28631024640 in words is "twenty-eight billion, six hundred thirty-one million, twenty-four thousand, six hundred forty".