28642537647360 has 1728 divisors, whose sum is σ = 134034345043200. Its totient is φ = 5725110730752.

The previous prime is 28642537647319. The next prime is 28642537647397. The reversal of 28642537647360 is 6374673524682.

28642537647360 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 2 + 537 + 64 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 418245442 + ... + 418313918.

It is an arithmetic number, because the mean of its divisors is an integer number (77566171900).

Almost surely, 2^{28642537647360} is an apocalyptic number.

28642537647360 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 28642537647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67017172521600).

28642537647360 is an abundant number, since it is smaller than the sum of its proper divisors (105391807395840).

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

28642537647360 is a wasteful number, since it uses less digits than its factorization.

28642537647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68553 (or 68526 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 28642537647360 in words is "twenty-eight trillion, six hundred forty-two billion, five hundred thirty-seven million, six hundred forty-seven thousand, three hundred sixty".