28914194458080 has 288 divisors, whose sum is σ = 107709604329600. Its totient is φ = 7304638413312.

The previous prime is 28914194458073. The next prime is 28914194458081. The reversal of 28914194458080 is 8085449141982.

28914194458080 is a `hidden beast` number, since 2 + 8 + 9 + 1 + 4 + 1 + 9 + 44 + 580 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28914194457999 and 28914194458017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28914194458081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18831750 + ... + 20309189.

It is an arithmetic number, because the mean of its divisors is an integer number (373991681700).

Almost surely, 2^{28914194458080} is an apocalyptic number.

28914194458080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28914194458080 is an abundant number, since it is smaller than the sum of its proper divisors (78795409871520).

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

28914194458080 is a wasteful number, since it uses less digits than its factorization.

28914194458080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39140988 (or 39140968 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 28914194458080 in words is "twenty-eight trillion, nine hundred fourteen billion, one hundred ninety-four million, four hundred fifty-eight thousand, eighty".