5628590415360 has 2880 divisors, whose sum is σ = 23848299611136. Its totient is φ = 1269162639360.

The previous prime is 5628590415359. The next prime is 5628590415377. The reversal of 5628590415360 is 635140958265.

5628590415360 is a `hidden beast` number, since 5 + 6 + 2 + 8 + 590 + 4 + 15 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a junction number, because it is equal to n+sod(n) for n = 5628590415297 and 5628590415306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119757242857 + ... + 119757242903.

Almost surely, 2^{5628590415360} 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 5628590415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924149805568).

5628590415360 is an abundant number, since it is smaller than the sum of its proper divisors (18219709195776).

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

5628590415360 is a wasteful number, since it uses less digits than its factorization.

5628590415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 5628590415360 in words is "five trillion, six hundred twenty-eight billion, five hundred ninety million, four hundred fifteen thousand, three hundred sixty".