28644268800 has 432 divisors, whose sum is σ = 109683590912. Its totient is φ = 6447513600.

The previous prime is 28644268789. The next prime is 28644268811. The reversal of 28644268800 is 886244682.

It is an interprime number because it is at equal distance from previous prime (28644268789) and next prime (28644268811).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28644268800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9003210 + ... + 9006390.

Almost surely, 2^28644268800 is an apocalyptic number.

28644268800 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 28644268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54841795456).

28644268800 is an abundant number, since it is smaller than the sum of its proper divisors (81039322112).

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

28644268800 is a wasteful number, since it uses less digits than its factorization.

28644268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 28644268800 in words is "twenty-eight billion, six hundred forty-four million, two hundred sixty-eight thousand, eight hundred".