28817574240 has 432 divisors, whose sum is σ = 114090206832. Its totient is φ = 6060386304.

The previous prime is 28817574229. The next prime is 28817574251. The reversal of 28817574240 is 4247571882.

It is an interprime number because it is at equal distance from previous prime (28817574229) and next prime (28817574251).

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 28817574240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93868167 + ... + 93868473.

It is an arithmetic number, because the mean of its divisors is an integer number (264097701).

Almost surely, 2^28817574240 is an apocalyptic number.

28817574240 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 28817574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57045103416).

28817574240 is an abundant number, since it is smaller than the sum of its proper divisors (85272632592).

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

28817574240 is a wasteful number, since it uses less digits than its factorization.

28817574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

The spelling of 28817574240 in words is "twenty-eight billion, eight hundred seventeen million, five hundred seventy-four thousand, two hundred forty".