28083093405696 has 384 divisors, whose sum is σ = 92775854808000. Its totient is φ = 8018680872960.

The previous prime is 28083093405677. The next prime is 28083093405713. The reversal of 28083093405696 is 69650439038082.

28083093405696 is a `hidden beast` number, since 2 + 8 + 0 + 8 + 30 + 9 + 34 + 0 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4333138776 + ... + 4333145256.

Almost surely, 2^{28083093405696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28083093405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46387927404000).

28083093405696 is an abundant number, since it is smaller than the sum of its proper divisors (64692761402304).

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

28083093405696 is an equidigital number, since it uses as much as digits as its factorization.

28083093405696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8623 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 28083093405696 in words is "twenty-eight trillion, eighty-three billion, ninety-three million, four hundred five thousand, six hundred ninety-six".