28814929920 has 624 divisors, whose sum is σ = 119233700352. Its totient is φ = 6293422080.

The previous prime is 28814929889. The next prime is 28814929933. The reversal of 28814929920 is 2992941882.

It is a super-2 number, since 2×28814929920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 29675035 + ... + 29676005.

It is an arithmetic number, because the mean of its divisors is an integer number (191079648).

Almost surely, 2^28814929920 is an apocalyptic number.

28814929920 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 28814929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59616850176).

28814929920 is an abundant number, since it is smaller than the sum of its proper divisors (90418770432).

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

28814929920 is a wasteful number, since it uses less digits than its factorization.

28814929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 28814929920 in words is "twenty-eight billion, eight hundred fourteen million, nine hundred twenty-nine thousand, nine hundred twenty".