28349573616 has 640 divisors, whose sum is σ = 105226598400. Its totient is φ = 7195474944.

The previous prime is 28349573597. The next prime is 28349573621. The reversal of 28349573616 is 61637594382.

28349573616 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 9 + 573 + 61 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92343735 + ... + 92344041.

It is an arithmetic number, because the mean of its divisors is an integer number (164416560).

Almost surely, 2^28349573616 is an apocalyptic number.

28349573616 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 28349573616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52613299200).

28349573616 is an abundant number, since it is smaller than the sum of its proper divisors (76877024784).

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

28349573616 is a wasteful number, since it uses less digits than its factorization.

28349573616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 361 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 28349573616 in words is "twenty-eight billion, three hundred forty-nine million, five hundred seventy-three thousand, six hundred sixteen".