38052828 has 72 divisors (see below), whose sum is σ = 108850560. Its totient is φ = 11527920.

The previous prime is 38052827. The next prime is 38052829. The reversal of 38052828 is 82825083.

It is an interprime number because it is at equal distance from previous prime (38052827) and next prime (38052829).

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 = 38052792 and 38052801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38052821) 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, 8913 + ... + 12471.

Almost surely, 2^38052828 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 38052828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54425280).

38052828 is an abundant number, since it is smaller than the sum of its proper divisors (70797732).

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

38052828 is a wasteful number, since it uses less digits than its factorization.

38052828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3575 counting only the distinct ones).

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

The square root of 38052828 is about 6168.6974313870. The cubic root of 38052828 is about 336.3532636596.

The spelling of 38052828 in words is "thirty-eight million, fifty-two thousand, eight hundred twenty-eight".