39823728 has 160 divisors (see below), whose sum is σ = 125468160. Its totient is φ = 10644480.

The previous prime is 39823727. The next prime is 39823739. The reversal of 39823728 is 82732893.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 39823728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39823727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594351 + ... + 594417.

It is an arithmetic number, because the mean of its divisors is an integer number (784176).

Almost surely, 2^39823728 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 39823728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62734080).

39823728 is an abundant number, since it is smaller than the sum of its proper divisors (85644432).

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

39823728 is a wasteful number, since it uses less digits than its factorization.

39823728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 39823728 is about 6310.6044084541. The cubic root of 39823728 is about 341.4920814446.

The spelling of 39823728 in words is "thirty-nine million, eight hundred twenty-three thousand, seven hundred twenty-eight".