38628900 has 180 divisors, whose sum is σ = 132335280. Its totient is φ = 9720000.

The previous prime is 38628857. The next prime is 38628901. The reversal of 38628900 is 982683.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38628901) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 153775 + ... + 154025.

It is an arithmetic number, because the mean of its divisors is an integer number (735196).

Almost surely, 2^38628900 is an apocalyptic number.

38628900 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 38628900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66167640).

38628900 is an abundant number, since it is smaller than the sum of its proper divisors (93706380).

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

38628900 is a wasteful number, since it uses less digits than its factorization.

38628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38628900 is about 6215.2152014230. The cubic root of 38628900 is about 338.0420917901.

The spelling of 38628900 in words is "thirty-eight million, six hundred twenty-eight thousand, nine hundred".