28400307264 has 896 divisors, whose sum is σ = 106743398400. Its totient is φ = 7226081280.

The previous prime is 28400307263. The next prime is 28400307283. The reversal of 28400307264 is 46270300482.

It is a super-2 number, since 2×28400307264² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28400307263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 319104532 + ... + 319104620.

Almost surely, 2^28400307264 is an apocalyptic number.

28400307264 is a gapful number since it is divisible by the number (24) 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 28400307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53371699200).

28400307264 is an abundant number, since it is smaller than the sum of its proper divisors (78343091136).

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

28400307264 is a wasteful number, since it uses less digits than its factorization.

28400307264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 28400307264 in words is "twenty-eight billion, four hundred million, three hundred seven thousand, two hundred sixty-four".