428939077392 has 320 divisors, whose sum is σ = 1515651563520. Its totient is φ = 113443545600.

The previous prime is 428939077381. The next prime is 428939077549. The reversal of 428939077392 is 293770939824.

428939077392 is a `hidden beast` number, since 4 + 2 + 8 + 93 + 90 + 77 + 392 = 666.

It is a super-2 number, since 2×428939077392² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056642 + ... + 2255582.

It is an arithmetic number, because the mean of its divisors is an integer number (4736411136).

Almost surely, 2^428939077392 is an apocalyptic number.

428939077392 is a gapful number since it is divisible by the number (42) 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 428939077392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757825781760).

428939077392 is an abundant number, since it is smaller than the sum of its proper divisors (1086712486128).

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

428939077392 is a wasteful number, since it uses less digits than its factorization.

428939077392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199019 (or 199007 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 428939077392 in words is "four hundred twenty-eight billion, nine hundred thirty-nine million, seventy-seven thousand, three hundred ninety-two".