38028000 has 96 divisors (see below), whose sum is σ = 124619040. Its totient is φ = 10137600.

The previous prime is 38027999. The next prime is 38028017. The reversal of 38028000 is 82083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38028000² = 2892257568000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10416 + ... + 13584.

It is an arithmetic number, because the mean of its divisors is an integer number (1298115).

Almost surely, 2^38028000 is an apocalyptic number.

38028000 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 38028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62309520).

38028000 is an abundant number, since it is smaller than the sum of its proper divisors (86591040).

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

38028000 is a wasteful number, since it uses less digits than its factorization.

38028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3197 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 38028000 is about 6166.6846846584. The cubic root of 38028000 is about 336.2800952412.

The spelling of 38028000 in words is "thirty-eight million, twenty-eight thousand".