39828288 has 56 divisors (see below), whose sum is σ = 105895648. Its totient is φ = 13211136.

The previous prime is 39828287. The next prime is 39828307. The reversal of 39828288 is 88282893.

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 (39828287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53970 + ... + 54702.

Almost surely, 2^39828288 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 39828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52947824).

39828288 is an abundant number, since it is smaller than the sum of its proper divisors (66067360).

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

39828288 is a wasteful number, since it uses less digits than its factorization.

39828288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1021 counting only the distinct ones).

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

The square root of 39828288 is about 6310.9656947253. The cubic root of 39828288 is about 341.5051150851.

The spelling of 39828288 in words is "thirty-nine million, eight hundred twenty-eight thousand, two hundred eighty-eight".