28245903984 has 280 divisors, whose sum is σ = 84680393600. Its totient is φ = 9117795456.

The previous prime is 28245903953. The next prime is 28245903997. The reversal of 28245903984 is 48930954282.

28245903984 is a `hidden beast` number, since 2 + 8 + 245 + 9 + 0 + 398 + 4 = 666.

It is a super-3 number, since 3×28245903984³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28245903984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 99808707 + ... + 99808989.

Almost surely, 2^28245903984 is an apocalyptic number.

28245903984 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 28245903984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42340196800).

28245903984 is an abundant number, since it is smaller than the sum of its proper divisors (56434489616).

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

28245903984 is a wasteful number, since it uses less digits than its factorization.

28245903984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 28245903984 in words is "twenty-eight billion, two hundred forty-five million, nine hundred three thousand, nine hundred eighty-four".