928634112 has 288 divisors, whose sum is σ = 3325996800. Its totient is φ = 249495552.

The previous prime is 928634089. The next prime is 928634141. The reversal of 928634112 is 211436829.

928634112 is a `hidden beast` number, since 9 + 2 + 8 + 634 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×928634112² = 1724722627940057088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 821964 + ... + 823092.

It is an arithmetic number, because the mean of its divisors is an integer number (11548600).

Almost surely, 2^928634112 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 928634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662998400).

928634112 is an abundant number, since it is smaller than the sum of its proper divisors (2397362688).

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

928634112 is a wasteful number, since it uses less digits than its factorization.

928634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1158 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 928634112 is about 30473.4985192052. The cubic root of 928634112 is about 975.6219085537.

The spelling of 928634112 in words is "nine hundred twenty-eight million, six hundred thirty-four thousand, one hundred twelve".