28365455456382 has 16 divisors (see below), whose sum is σ = 61888266450432. Its totient is φ = 8595592562520.

The previous prime is 28365455456369. The next prime is 28365455456399.

28365455456382 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66), and also a Moran number because the ratio is a prime number: 429779628127 = 28365455456382 / (2 + 8 + 3 + 6 + 5 + 4 + 5 + 5 + 4 + 5 + 6 + 3 + 8 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214889813998 + ... + 214889814129.

It is an arithmetic number, because the mean of its divisors is an integer number (3868016653152).

Almost surely, 2^{28365455456382} is an apocalyptic number.

28365455456382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

28365455456382 is an abundant number, since it is smaller than the sum of its proper divisors (33522810994050).

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

28365455456382 is a wasteful number, since it uses less digits than its factorization.

28365455456382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429779628143.

The product of its digits is 829440000, while the sum is 66.

The spelling of 28365455456382 in words is "twenty-eight trillion, three hundred sixty-five billion, four hundred fifty-five million, four hundred fifty-six thousand, three hundred eighty-two".