39827625728 has 144 divisors (see below), whose sum is σ = 88107862752. Its totient is φ = 17817600000.

The previous prime is 39827625709. The next prime is 39827625731. The reversal of 39827625728 is 82752672893.

It is a super-2 number, since 2×39827625728² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66268628 + ... + 66269228.

It is an arithmetic number, because the mean of its divisors is an integer number (611860158).

Almost surely, 2^39827625728 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 39827625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44053931376).

39827625728 is an abundant number, since it is smaller than the sum of its proper divisors (48280237024).

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

39827625728 is a wasteful number, since it uses less digits than its factorization.

39827625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 948 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 59.

The spelling of 39827625728 in words is "thirty-nine billion, eight hundred twenty-seven million, six hundred twenty-five thousand, seven hundred twenty-eight".