28628792640 has 672 divisors, whose sum is σ = 122333552640. Its totient is φ = 5996851200.

The previous prime is 28628792639. The next prime is 28628792651. The reversal of 28628792640 is 4629782682.

28628792640 is a `hidden beast` number, since 2 + 8 + 628 + 7 + 9 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 11873035 + ... + 11875445.

Almost surely, 2^28628792640 is an apocalyptic number.

28628792640 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 28628792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61166776320).

28628792640 is an abundant number, since it is smaller than the sum of its proper divisors (93704760000).

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

28628792640 is a wasteful number, since it uses less digits than its factorization.

28628792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 28628792640 in words is "twenty-eight billion, six hundred twenty-eight million, seven hundred ninety-two thousand, six hundred forty".