45280891728 has 160 divisors (see below), whose sum is σ = 132363849600. Its totient is φ = 14818535424.

The previous prime is 45280891727. The next prime is 45280891757. The reversal of 45280891728 is 82719808254.

45280891728 is a `hidden beast` number, since 4 + 528 + 0 + 8 + 91 + 7 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45280891727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5218978 + ... + 5227646.

It is an arithmetic number, because the mean of its divisors is an integer number (827274060).

Almost surely, 2^45280891728 is an apocalyptic number.

45280891728 is a gapful number since it is divisible by the number (48) 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 45280891728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66181924800).

45280891728 is an abundant number, since it is smaller than the sum of its proper divisors (87082957872).

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

45280891728 is a wasteful number, since it uses less digits than its factorization.

45280891728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8906 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 45280891728 in words is "forty-five billion, two hundred eighty million, eight hundred ninety-one thousand, seven hundred twenty-eight".