24428500992 has 480 divisors, whose sum is σ = 84590906400. Its totient is φ = 6879707136.

The previous prime is 24428500937. The next prime is 24428501023. The reversal of 24428500992 is 29900582442.

It is a super-2 number, since 2×24428500992² (a number of 22 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 126572448 + ... + 126572640.

It is an arithmetic number, because the mean of its divisors is an integer number (176231055).

Almost surely, 2^24428500992 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 24428500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42295453200).

24428500992 is an abundant number, since it is smaller than the sum of its proper divisors (60162405408).

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

24428500992 is a wasteful number, since it uses less digits than its factorization.

24428500992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 24428500992 in words is "twenty-four billion, four hundred twenty-eight million, five hundred thousand, nine hundred ninety-two".