28880963136 has 189 divisors, whose sum is σ = 84805795971. Its totient is φ = 9397223424.

The previous prime is 28880963131. The next prime is 28880963141. The reversal of 28880963136 is 63136908882.

It is a happy number.

The square root of 28880963136 is 169944.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (28880963131) and next prime (28880963141).

It can be written as a sum of positive squares in 4 ways, for example, as 8156736 + 28872806400 = 2856^2 + 169920^2 .

It is a super-2 number, since 2×28880963136² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28880963131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 297741840 + ... + 297741936.

Almost surely, 2^28880963136 is an apocalyptic number.

28880963136 is the 169944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28880963136

28880963136 is an abundant number, since it is smaller than the sum of its proper divisors (55924832835).

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

28880963136 is an frugal number, since it uses more digits than its factorization.

28880963136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

It can be divided in two parts, 28880 and 963136, that added together give a square (992016 = 996²).

The spelling of 28880963136 in words is "twenty-eight billion, eight hundred eighty million, nine hundred sixty-three thousand, one hundred thirty-six".