28424232157824 has 384 divisors, whose sum is σ = 84960254870400. Its totient is φ = 9114065215488.

The previous prime is 28424232157807. The next prime is 28424232157847. The reversal of 28424232157824 is 42875123242482.

It is a happy number.

28424232157824 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 4 + 23 + 21 + 578 + 24 = 666.

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

It is a super-3 number, since 3×28424232157824³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2822939862 + ... + 2822949930.

It is an arithmetic number, because the mean of its divisors is an integer number (221250663725).

Almost surely, 2^{28424232157824} is an apocalyptic number.

28424232157824 is a gapful number since it is divisible by the number (24) 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 28424232157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42480127435200).

28424232157824 is an abundant number, since it is smaller than the sum of its proper divisors (56536022712576).

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

28424232157824 is a wasteful number, since it uses less digits than its factorization.

28424232157824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10857 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 54.

The spelling of 28424232157824 in words is "twenty-eight trillion, four hundred twenty-four billion, two hundred thirty-two million, one hundred fifty-seven thousand, eight hundred twenty-four".