28511590464 has 672 divisors, whose sum is σ = 103314032640. Its totient is φ = 7620231168.

The previous prime is 28511590451. The next prime is 28511590469. The reversal of 28511590464 is 46409511582.

28511590464 is a `hidden beast` number, since 2 + 8 + 5 + 11 + 590 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28511590469) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147728352 + ... + 147728544.

It is an arithmetic number, because the mean of its divisors is an integer number (153741120).

Almost surely, 2^28511590464 is an apocalyptic number.

28511590464 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 28511590464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51657016320).

28511590464 is an abundant number, since it is smaller than the sum of its proper divisors (74802442176).

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

28511590464 is a wasteful number, since it uses less digits than its factorization.

28511590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 28511590464 in words is "twenty-eight billion, five hundred eleven million, five hundred ninety thousand, four hundred sixty-four".