38226528 has 72 divisors (see below), whose sum is σ = 109307016. Its totient is φ = 12672000.

The previous prime is 38226521. The next prime is 38226533. The reversal of 38226528 is 82562283.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×38226528² = 2922534885869568, which contains 22 as substring.

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 = 38226492 and 38226501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38226521) 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, 95128 + ... + 95528.

It is an arithmetic number, because the mean of its divisors is an integer number (1518153).

Almost surely, 2^38226528 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 38226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54653508).

38226528 is an abundant number, since it is smaller than the sum of its proper divisors (71080488).

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

38226528 is a wasteful number, since it uses less digits than its factorization.

38226528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 737 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 38226528 is about 6182.7605484929. The cubic root of 38226528 is about 336.8642715813.

The spelling of 38226528 in words is "thirty-eight million, two hundred twenty-six thousand, five hundred twenty-eight".