28013314560 has 640 divisors, whose sum is σ = 112833921024. Its totient is φ = 5759631360.

The previous prime is 28013314547. The next prime is 28013314583. The reversal of 28013314560 is 6541331082.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75102534 + ... + 75102906.

Almost surely, 2^28013314560 is an apocalyptic number.

28013314560 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 28013314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56416960512).

28013314560 is an abundant number, since it is smaller than the sum of its proper divisors (84820606464).

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

28013314560 is a wasteful number, since it uses less digits than its factorization.

28013314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 28013314560 in words is "twenty-eight billion, thirteen million, three hundred fourteen thousand, five hundred sixty".