39728568000 has 448 divisors, whose sum is σ = 145514543616. Its totient is φ = 9469440000.

The previous prime is 39728567999. The next prime is 39728568001. The reversal of 39728568000 is 86582793.

It is an interprime number because it is at equal distance from previous prime (39728567999) and next prime (39728568001).

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

It is not an unprimeable number, because it can be changed into a prime (39728568001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16102767 + ... + 16105233.

Almost surely, 2^39728568000 is an apocalyptic number.

39728568000 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 39728568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72757271808).

39728568000 is an abundant number, since it is smaller than the sum of its proper divisors (105785975616).

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

39728568000 is a wasteful number, since it uses less digits than its factorization.

39728568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 39728568000 in words is "thirty-nine billion, seven hundred twenty-eight million, five hundred sixty-eight thousand".