928055934000 has 1280 divisors, whose sum is σ = 3767158886400. Its totient is φ = 216691200000.

The previous prime is 928055933999. The next prime is 928055934037. The reversal of 928055934000 is 439550829.

928055934000 is a `hidden beast` number, since 92 + 8 + 0 + 559 + 3 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×928055934000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3697433875 + ... + 3697434125.

It is an arithmetic number, because the mean of its divisors is an integer number (2943092880).

Almost surely, 2^928055934000 is an apocalyptic number.

928055934000 is a gapful number since it is divisible by the number (90) 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 928055934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883579443200).

928055934000 is an abundant number, since it is smaller than the sum of its proper divisors (2839102952400).

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

928055934000 is a wasteful number, since it uses less digits than its factorization.

928055934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 928055934000 in words is "nine hundred twenty-eight billion, fifty-five million, nine hundred thirty-four thousand".