39628800 has 234 divisors, whose sum is σ = 145242812. Its totient is φ = 10321920.

The previous prime is 39628783. The next prime is 39628801. The reversal of 39628800 is 882693.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (39628801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921579 + ... + 921621.

Almost surely, 2^39628800 is an apocalyptic number.

39628800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72621406).

39628800 is an abundant number, since it is smaller than the sum of its proper divisors (105614012).

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

39628800 is a wasteful number, since it uses less digits than its factorization.

39628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 39628800 is about 6295.1409833299. The cubic root of 39628800 is about 340.9339947868.

The spelling of 39628800 in words is "thirty-nine million, six hundred twenty-eight thousand, eight hundred".