28651290624 has 368 divisors, whose sum is σ = 96636752640. Its totient is φ = 8304721920.

The previous prime is 28651290589. The next prime is 28651290641. The reversal of 28651290624 is 42609215682.

28651290624 is a `hidden beast` number, since 2 + 8 + 6 + 5 + 12 + 9 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (368).

It is a self number, because there is not a number n which added to its sum of digits gives 28651290624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245708277 + ... + 1245708299.

Almost surely, 2^28651290624 is an apocalyptic number.

28651290624 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 28651290624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48318376320).

28651290624 is an abundant number, since it is smaller than the sum of its proper divisors (67985462016).

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

28651290624 is an frugal number, since it uses more digits than its factorization.

28651290624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28651290624 in words is "twenty-eight billion, six hundred fifty-one million, two hundred ninety thousand, six hundred twenty-four".