928536740352 has 960 divisors, whose sum is σ = 3300943726080. Its totient is φ = 248155471872.

The previous prime is 928536740317. The next prime is 928536740357. The reversal of 928536740352 is 253047635829.

928536740352 is a `hidden beast` number, since 9 + 2 + 8 + 536 + 74 + 0 + 35 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (928536740357) 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, 679250773 + ... + 679252139.

It is an arithmetic number, because the mean of its divisors is an integer number (3438483048).

Almost surely, 2^928536740352 is an apocalyptic number.

928536740352 is a gapful number since it is divisible by the number (92) 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 928536740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650471863040).

928536740352 is an abundant number, since it is smaller than the sum of its proper divisors (2372406985728).

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

928536740352 is a wasteful number, since it uses less digits than its factorization.

928536740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 928536740352 in words is "nine hundred twenty-eight billion, five hundred thirty-six million, seven hundred forty thousand, three hundred fifty-two".