28249832160 has 480 divisors, whose sum is σ = 110333228544. Its totient is φ = 6749568000.

The previous prime is 28249832101. The next prime is 28249832207. The reversal of 28249832160 is 6123894282.

28249832160 is a `hidden beast` number, since 2 + 82 + 498 + 3 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 10120365 + ... + 10123155.

Almost surely, 2^28249832160 is an apocalyptic number.

28249832160 is a gapful number since it is divisible by the number (20) 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 28249832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55166614272).

28249832160 is an abundant number, since it is smaller than the sum of its proper divisors (82083396384).

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

28249832160 is a wasteful number, since it uses less digits than its factorization.

28249832160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28249832160 in words is "twenty-eight billion, two hundred forty-nine million, eight hundred thirty-two thousand, one hundred sixty".