38628007620 has 96 divisors (see below), whose sum is σ = 109672932096. Its totient is φ = 10157568000.

The previous prime is 38628007601. The next prime is 38628007633. The reversal of 38628007620 is 2670082683.

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 31 ways as a sum of consecutive naturals, for example, 1225660 + ... + 1256780.

It is an arithmetic number, because the mean of its divisors is an integer number (1142426376).

Almost surely, 2^38628007620 is an apocalyptic number.

38628007620 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 38628007620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54836466048).

38628007620 is an abundant number, since it is smaller than the sum of its proper divisors (71044924476).

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

38628007620 is a wasteful number, since it uses less digits than its factorization.

38628007620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31421 (or 31419 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 38628007620 in words is "thirty-eight billion, six hundred twenty-eight million, seven thousand, six hundred twenty".