28762568640 has 672 divisors, whose sum is σ = 113621027520. Its totient is φ = 6879707136.

The previous prime is 28762568591. The next prime is 28762568663. The reversal of 28762568640 is 4686526782.

28762568640 is a `hidden beast` number, since 2 + 8 + 7 + 625 + 6 + 8 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×28762568640² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37402176 + ... + 37402944.

It is an arithmetic number, because the mean of its divisors is an integer number (169078910).

Almost surely, 2^28762568640 is an apocalyptic number.

28762568640 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 28762568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56810513760).

28762568640 is an abundant number, since it is smaller than the sum of its proper divisors (84858458880).

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

28762568640 is a wasteful number, since it uses less digits than its factorization.

28762568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 28762568640 in words is "twenty-eight billion, seven hundred sixty-two million, five hundred sixty-eight thousand, six hundred forty".