28002934814816 has 192 divisors, whose sum is σ = 65790824762880. Its totient is φ = 11608188641280.

The previous prime is 28002934814809. The next prime is 28002934814837. The reversal of 28002934814816 is 61841843920082.

It is a super-2 number, since 2×28002934814816² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19860911 + ... + 21224081.

It is an arithmetic number, because the mean of its divisors is an integer number (342660545640).

Almost surely, 2^{28002934814816} is an apocalyptic number.

28002934814816 is a gapful number since it is divisible by the number (26) 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 28002934814816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32895412381440).

28002934814816 is an abundant number, since it is smaller than the sum of its proper divisors (37787889948064).

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

28002934814816 is a wasteful number, since it uses less digits than its factorization.

28002934814816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363349 (or 1363341 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 56.

The spelling of 28002934814816 in words is "twenty-eight trillion, two billion, nine hundred thirty-four million, eight hundred fourteen thousand, eight hundred sixteen".