28874565122368 has 336 divisors, whose sum is σ = 69990312038400. Its totient is φ = 11768351293440.

The previous prime is 28874565122341. The next prime is 28874565122419. The reversal of 28874565122368 is 86322156547882.

28874565122368 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28874565122368² (a number of 28 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, 10738029568 + ... + 10738032256.

Almost surely, 2^{28874565122368} is an apocalyptic number.

28874565122368 is a gapful number since it is divisible by the number (28) 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 28874565122368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34995156019200).

28874565122368 is an abundant number, since it is smaller than the sum of its proper divisors (41115746916032).

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

28874565122368 is a wasteful number, since it uses less digits than its factorization.

28874565122368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4461 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 67.

The spelling of 28874565122368 in words is "twenty-eight trillion, eight hundred seventy-four billion, five hundred sixty-five million, one hundred twenty-two thousand, three hundred sixty-eight".