28640776320 has 768 divisors, whose sum is σ = 115081948800. Its totient is φ = 6502809600.

The previous prime is 28640776319. The next prime is 28640776327. The reversal of 28640776320 is 2367704682.

28640776320 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 0 + 7 + 7 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28640776327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58331275 + ... + 58331765.

Almost surely, 2^28640776320 is an apocalyptic number.

28640776320 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 28640776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57540974400).

28640776320 is an abundant number, since it is smaller than the sum of its proper divisors (86441172480).

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

28640776320 is a wasteful number, since it uses less digits than its factorization.

28640776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

It can be divided in two parts, 28640776 and 320, that added together give a triangular number (28641096 = T₇₅₆₈).

The spelling of 28640776320 in words is "twenty-eight billion, six hundred forty million, seven hundred seventy-six thousand, three hundred twenty".