38924928 has 128 divisors (see below), whose sum is σ = 131376000. Its totient is φ = 11114496.

The previous prime is 38924927. The next prime is 38924929. The reversal of 38924928 is 82942983.

38924928 is a `hidden beast` number, since 389 + 249 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (38924927) and next prime (38924929).

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38924927) 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, 23388 + ... + 24996.

It is an arithmetic number, because the mean of its divisors is an integer number (1026375).

Almost surely, 2^38924928 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 38924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65688000).

38924928 is an abundant number, since it is smaller than the sum of its proper divisors (92451072).

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

38924928 is a wasteful number, since it uses less digits than its factorization.

38924928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1621 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 38924928 is about 6238.9845327585. The cubic root of 38924928 is about 338.9034104958.

The spelling of 38924928 in words is "thirty-eight million, nine hundred twenty-four thousand, nine hundred twenty-eight".