38528400 has 120 divisors (see below), whose sum is σ = 125068384. Its totient is φ = 10137600.

The previous prime is 38528353. The next prime is 38528401. The reversal of 38528400 is 482583.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38528401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116235 + ... + 116565.

Almost surely, 2^38528400 is an apocalyptic number.

38528400 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 38528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62534192).

38528400 is an abundant number, since it is smaller than the sum of its proper divisors (86539984).

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

38528400 is a wasteful number, since it uses less digits than its factorization.

38528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 38528400 is about 6207.1249383269. The cubic root of 38528400 is about 337.7486781769.

The spelling of 38528400 in words is "thirty-eight million, five hundred twenty-eight thousand, four hundred".