928975388040 has 384 divisors, whose sum is σ = 3603820896000. Its totient is φ = 203095517184.

The previous prime is 928975388027. The next prime is 928975388041. The reversal of 928975388040 is 40883579829.

928975388040 is a `hidden beast` number, since 9 + 2 + 8 + 97 + 538 + 8 + 0 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (928975388041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5416726 + ... + 5585594.

It is an arithmetic number, because the mean of its divisors is an integer number (9384950250).

Almost surely, 2^928975388040 is an apocalyptic number.

928975388040 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 928975388040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801910448000).

928975388040 is an abundant number, since it is smaller than the sum of its proper divisors (2674845507960).

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

928975388040 is a wasteful number, since it uses less digits than its factorization.

928975388040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168989 (or 168982 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 928975388040 in words is "nine hundred twenty-eight billion, nine hundred seventy-five million, three hundred eighty-eight thousand, forty".