38628495360 has 1248 divisors, whose sum is σ = 171735782400. Its totient is φ = 7976779776.

The previous prime is 38628495317. The next prime is 38628495371. The reversal of 38628495360 is 6359482683.

38628495360 is a `hidden beast` number, since 3 + 8 + 62 + 8 + 49 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a junction number, because it is equal to n+sod(n) for n = 38628495297 and 38628495306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821882857 + ... + 821882903.

It is an arithmetic number, because the mean of its divisors is an integer number (137608800).

Almost surely, 2^38628495360 is an apocalyptic number.

38628495360 is a gapful number since it is divisible by the number (30) 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 38628495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85867891200).

38628495360 is an abundant number, since it is smaller than the sum of its proper divisors (133107287040).

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

38628495360 is a wasteful number, since it uses less digits than its factorization.

38628495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 38628495360 in words is "thirty-eight billion, six hundred twenty-eight million, four hundred ninety-five thousand, three hundred sixty".