28343874240 has 896 divisors, whose sum is σ = 118032215040. Its totient is φ = 6325862400.

The previous prime is 28343874239. The next prime is 28343874253. The reversal of 28343874240 is 4247834382.

28343874240 is a `hidden beast` number, since 28 + 3 + 4 + 387 + 4 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85630875 + ... + 85631205.

Almost surely, 2^28343874240 is an apocalyptic number.

28343874240 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 28343874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59016107520).

28343874240 is an abundant number, since it is smaller than the sum of its proper divisors (89688340800).

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

28343874240 is a wasteful number, since it uses less digits than its factorization.

28343874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 28343874240 in words is "twenty-eight billion, three hundred forty-three million, eight hundred seventy-four thousand, two hundred forty".