928023936 has 384 divisors, whose sum is σ = 3110722560. Its totient is φ = 243855360.

The previous prime is 928023919. The next prime is 928023949. The reversal of 928023936 is 639320829.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×928023936² = 1722456851577864192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21581931 + ... + 21581973.

It is an arithmetic number, because the mean of its divisors is an integer number (8100840).

Almost surely, 2^928023936 is an apocalyptic number.

928023936 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 928023936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555361280).

928023936 is an abundant number, since it is smaller than the sum of its proper divisors (2182698624).

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

928023936 is a wasteful number, since it uses less digits than its factorization.

928023936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 928023936 is about 30463.4852897695. The cubic root of 928023936 is about 975.4081783385.

The spelling of 928023936 in words is "nine hundred twenty-eight million, twenty-three thousand, nine hundred thirty-six".