38951328 has 144 divisors (see below), whose sum is σ = 117059040. Its totient is φ = 11269632.

The previous prime is 38951303. The next prime is 38951329. The reversal of 38951328 is 82315983.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (38951329) 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, 660163 + ... + 660221.

It is an arithmetic number, because the mean of its divisors is an integer number (812910).

Almost surely, 2^38951328 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 38951328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58529520).

38951328 is an abundant number, since it is smaller than the sum of its proper divisors (78107712).

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

38951328 is a wasteful number, since it uses less digits than its factorization.

38951328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 38951328 is about 6241.0999030620. The cubic root of 38951328 is about 338.9800111777.

The spelling of 38951328 in words is "thirty-eight million, nine hundred fifty-one thousand, three hundred twenty-eight".