28453638113280 has 288 divisors, whose sum is σ = 102267620582400. Its totient is φ = 7587636166656.

The previous prime is 28453638113233. The next prime is 28453638113297. The reversal of 28453638113280 is 8231183635482.

28453638113280 is a `hidden beast` number, since 2 + 8 + 4 + 53 + 6 + 381 + 132 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×28453638113280² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3229120 + ... + 8205759.

It is an arithmetic number, because the mean of its divisors is an integer number (355095904800).

Almost surely, 2^{28453638113280} is an apocalyptic number.

28453638113280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28453638113280 is an abundant number, since it is smaller than the sum of its proper divisors (73813982469120).

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

28453638113280 is an equidigital number, since it uses as much as digits as its factorization.

28453638113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11434921 (or 11434889 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 28453638113280 in words is "twenty-eight trillion, four hundred fifty-three billion, six hundred thirty-eight million, one hundred thirteen thousand, two hundred eighty".