39868028928 has 960 divisors, whose sum is σ = 155387232000. Its totient is φ = 9889579008.

The previous prime is 39868028923. The next prime is 39868028929. The reversal of 39868028928 is 82982086893.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39868028923) 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 79 ways as a sum of consecutive naturals, for example, 286820283 + ... + 286820421.

It is an arithmetic number, because the mean of its divisors is an integer number (161861700).

Almost surely, 2^39868028928 is an apocalyptic number.

39868028928 is a gapful number since it is divisible by the number (38) 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 39868028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77693616000).

39868028928 is an abundant number, since it is smaller than the sum of its proper divisors (115519203072).

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

39868028928 is a wasteful number, since it uses less digits than its factorization.

39868028928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 39868028928 in words is "thirty-nine billion, eight hundred sixty-eight million, twenty-eight thousand, nine hundred twenty-eight".