923128416 has 144 divisors (see below), whose sum is σ = 3097156608. Its totient is φ = 255225600.

The previous prime is 923128411. The next prime is 923128421. The reversal of 923128416 is 614821329.

923128416 is a `hidden beast` number, since 9 + 231 + 2 + 8 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (923128411) and next prime (923128421).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 not an unprimeable number, because it can be changed into a prime (923128411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55111 + ... + 69881.

It is an arithmetic number, because the mean of its divisors is an integer number (21508032).

Almost surely, 2^923128416 is an apocalyptic number.

923128416 is a gapful number since it is divisible by the number (96) 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 923128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548578304).

923128416 is an abundant number, since it is smaller than the sum of its proper divisors (2174028192).

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

923128416 is a wasteful number, since it uses less digits than its factorization.

923128416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825 (or 14814 counting only the distinct ones).

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

The square root of 923128416 is about 30383.0284204850. The cubic root of 923128416 is about 973.6899929350.

The spelling of 923128416 in words is "nine hundred twenty-three million, one hundred twenty-eight thousand, four hundred sixteen".