5628146872320 has 1664 divisors, whose sum is σ = 23986393344000. Its totient is φ = 1240067211264.

The previous prime is 5628146872319. The next prime is 5628146872331. The reversal of 5628146872320 is 232786418265.

5628146872320 is a `hidden beast` number, since 5 + 6 + 2 + 81 + 468 + 72 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9092320971 + ... + 9092321589.

Almost surely, 2^{5628146872320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628146872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11993196672000).

5628146872320 is an abundant number, since it is smaller than the sum of its proper divisors (18358246471680).

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

5628146872320 is an frugal number, since it uses more digits than its factorization.

5628146872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 5628146872320 in words is "five trillion, six hundred twenty-eight billion, one hundred forty-six million, eight hundred seventy-two thousand, three hundred twenty".