43224992928 has 240 divisors, whose sum is σ = 137255164200. Its totient is φ = 13265731584.

The previous prime is 43224992857. The next prime is 43224992933. The reversal of 43224992928 is 82929942234.

43224992928 is a `hidden beast` number, since 43 + 22 + 499 + 2 + 92 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35273347344 + 7951645584 = 187812^2 + 89172^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

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 39 ways as a sum of consecutive naturals, for example, 15128076 + ... + 15130932.

Almost surely, 2^43224992928 is an apocalyptic number.

43224992928 is a gapful number since it is divisible by the number (48) 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 43224992928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68627582100).

43224992928 is an abundant number, since it is smaller than the sum of its proper divisors (94030171272).

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

43224992928 is a wasteful number, since it uses less digits than its factorization.

43224992928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3324 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 43224992928 in words is "forty-three billion, two hundred twenty-four million, nine hundred ninety-two thousand, nine hundred twenty-eight".