38013528 has 64 divisors (see below), whose sum is σ = 114336000. Its totient is φ = 10288512.

The previous prime is 38013497. The next prime is 38013529. The reversal of 38013528 is 82531083.

It is a happy number.

It is a super-4 number, since 4×38013528⁴ (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 38013495 and 38013504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38013529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2763 + ... + 9146.

It is an arithmetic number, because the mean of its divisors is an integer number (1786500).

Almost surely, 2^38013528 is an apocalyptic number.

38013528 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

38013528 is an abundant number, since it is smaller than the sum of its proper divisors (76322472).

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

38013528 is a wasteful number, since it uses less digits than its factorization.

38013528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11944 (or 11940 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 38013528 is about 6165.5111710222. The cubic root of 38013528 is about 336.2374313881.

The spelling of 38013528 in words is "thirty-eight million, thirteen thousand, five hundred twenty-eight".