390728984231320 has 384 divisors, whose sum is σ = 1101637068840000. Its totient is φ = 123898124206080.

The previous prime is 390728984231219. The next prime is 390728984231321. The reversal of 390728984231320 is 23132489827093.

It is a super-2 number, since 2×390728984231320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390728984231321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2132021851 + ... + 2132205109.

Almost surely, 2^{390728984231320} 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 390728984231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550818534420000).

390728984231320 is an abundant number, since it is smaller than the sum of its proper divisors (710908084608680).

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

390728984231320 is a wasteful number, since it uses less digits than its factorization.

390728984231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184411 (or 184400 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 390728984231320 in words is "three hundred ninety trillion, seven hundred twenty-eight billion, nine hundred eighty-four million, two hundred thirty-one thousand, three hundred twenty".