28468160 has 112 divisors (see below), whose sum is σ = 79004160. Its totient is φ = 9569280.

The previous prime is 28468159. The next prime is 28468171. The reversal of 28468160 is 6186482.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×28468160² = 1620872267571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 28468160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158951 + ... + 159129.

Almost surely, 2^28468160 is an apocalyptic number.

28468160 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 28468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39502080).

28468160 is an abundant number, since it is smaller than the sum of its proper divisors (50536000).

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

28468160 is a wasteful number, since it uses less digits than its factorization.

28468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 28468160 is about 5335.5562034337. The cubic root of 28468160 is about 305.3419438255.

The spelling of 28468160 in words is "twenty-eight million, four hundred sixty-eight thousand, one hundred sixty".