28712160 has 144 divisors (see below), whose sum is σ = 99380736. Its totient is φ = 7547904.

The previous prime is 28712149. The next prime is 28712161. The reversal of 28712160 is 6121782.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28712161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182802 + ... + 182958.

It is an arithmetic number, because the mean of its divisors is an integer number (690144).

Almost surely, 2^28712160 is an apocalyptic number.

28712160 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 28712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49690368).

28712160 is an abundant number, since it is smaller than the sum of its proper divisors (70668576).

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

28712160 is a wasteful number, since it uses less digits than its factorization.

28712160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 28712160 is about 5358.3728873605. The cubic root of 28712160 is about 306.2118230906.

The spelling of 28712160 in words is "twenty-eight million, seven hundred twelve thousand, one hundred sixty".