28436624536320 has 7776 divisors, whose sum is σ = 152012539800576. Its totient is φ = 4942639595520.

The previous prime is 28436624536267. The next prime is 28436624536373. The reversal of 28436624536320 is 2363542663482.

28436624536320 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 6 + 624 + 5 + 3 + 6 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28436624536267) and next prime (28436624536373).

It is a tau number, because it is divible by the number of its divisors (7776).

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1236374979829 + ... + 1236374979851.

Almost surely, 2^{28436624536320} is an apocalyptic number.

28436624536320 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 28436624536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76006269900288).

28436624536320 is an abundant number, since it is smaller than the sum of its proper divisors (123575915264256).

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

28436624536320 is a wasteful number, since it uses less digits than its factorization.

28436624536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

The spelling of 28436624536320 in words is "twenty-eight trillion, four hundred thirty-six billion, six hundred twenty-four million, five hundred thirty-six thousand, three hundred twenty".