38928288 has 96 divisors (see below), whose sum is σ = 119097216. Its totient is φ = 10902528.

The previous prime is 38928269. The next prime is 38928289. The reversal of 38928288 is 88282983.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38928288² = 3030823213221888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38928289) 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, 35070 + ... + 36162.

It is an arithmetic number, because the mean of its divisors is an integer number (1240596).

Almost surely, 2^38928288 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 38928288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59548608).

38928288 is an abundant number, since it is smaller than the sum of its proper divisors (80168928).

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

38928288 is a wasteful number, since it uses less digits than its factorization.

38928288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 38928288 is about 6239.2538015375. The cubic root of 38928288 is about 338.9131615967.

The spelling of 38928288 in words is "thirty-eight million, nine hundred twenty-eight thousand, two hundred eighty-eight".