28838533680 has 600 divisors, whose sum is σ = 113172591312. Its totient is φ = 6749568000.

The previous prime is 28838533657. The next prime is 28838533721. The reversal of 28838533680 is 8633583882.

28838533680 is a `hidden beast` number, since 28 + 8 + 3 + 8 + 533 + 6 + 80 = 666.

It is a super-2 number, since 2×28838533680² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68499870 + ... + 68500290.

Almost surely, 2^28838533680 is an apocalyptic number.

28838533680 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 28838533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56586295656).

28838533680 is an abundant number, since it is smaller than the sum of its proper divisors (84334057632).

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

28838533680 is a wasteful number, since it uses less digits than its factorization.

28838533680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 28838533680 in words is "twenty-eight billion, eight hundred thirty-eight million, five hundred thirty-three thousand, six hundred eighty".