22823437728 has 192 divisors, whose sum is σ = 73828564992. Its totient is φ = 6011919360.

The previous prime is 22823437711. The next prime is 22823437739. The reversal of 22823437728 is 82773432822.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 13723425 + ... + 13725087.

It is an arithmetic number, because the mean of its divisors is an integer number (384523776).

Almost surely, 2^22823437728 is an apocalyptic number.

22823437728 is a gapful number since it is divisible by the number (28) 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 22823437728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36914282496).

22823437728 is an abundant number, since it is smaller than the sum of its proper divisors (51005127264).

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

22823437728 is a wasteful number, since it uses less digits than its factorization.

22823437728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3259 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 48.

The spelling of 22823437728 in words is "twenty-two billion, eight hundred twenty-three million, four hundred thirty-seven thousand, seven hundred twenty-eight".