38028528 has 60 divisors (see below), whose sum is σ = 110380088. Its totient is φ = 12674880.

The previous prime is 38028521. The next prime is 38028533. The reversal of 38028528 is 82582083.

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

It is a junction number, because it is equal to n+sod(n) for n = 38028492 and 38028501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38028521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1003 + ... + 8778.

Almost surely, 2^38028528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38028528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55190044).

38028528 is an abundant number, since it is smaller than the sum of its proper divisors (72351560).

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

38028528 is an equidigital number, since it uses as much as digits as its factorization.

38028528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9804 (or 9786 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 38028528 is about 6166.7274951955. The cubic root of 38028528 is about 336.2816515950.

The spelling of 38028528 in words is "thirty-eight million, twenty-eight thousand, five hundred twenty-eight".