28604160 has 216 divisors, whose sum is σ = 107138304. Its totient is φ = 7004160.

The previous prime is 28604129. The next prime is 28604167. The reversal of 28604160 is 6140682.

28604160 = T₄₄₉ + T₄₅₀ + ... + T₆₃₉.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28604167) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 149665 + ... + 149855.

Almost surely, 2^28604160 is an apocalyptic number.

28604160 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 28604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53569152).

28604160 is an abundant number, since it is smaller than the sum of its proper divisors (78534144).

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

28604160 is a wasteful number, since it uses less digits than its factorization.

28604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28604160 is about 5348.2857066540. The cubic root of 28604160 is about 305.8274049111.

The spelling of 28604160 in words is "twenty-eight million, six hundred four thousand, one hundred sixty".