28431846520 has 256 divisors, whose sum is σ = 88123852800. Its totient is φ = 7977615360.

The previous prime is 28431846517. The next prime is 28431846557. The reversal of 28431846520 is 2564813482.

It is a happy number.

It is a super-2 number, since 2×28431846520² (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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1192476 + ... + 1216084.

It is an arithmetic number, because the mean of its divisors is an integer number (344233800).

Almost surely, 2^28431846520 is an apocalyptic number.

28431846520 is a gapful number since it is divisible by the number (20) 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 28431846520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44061926400).

28431846520 is an abundant number, since it is smaller than the sum of its proper divisors (59692006280).

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

28431846520 is a wasteful number, since it uses less digits than its factorization.

28431846520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23678 (or 23674 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 28431846520 in words is "twenty-eight billion, four hundred thirty-one million, eight hundred forty-six thousand, five hundred twenty".