28362960 has 120 divisors (see below), whose sum is σ = 98847840. Its totient is φ = 7558272.

The previous prime is 28362959. The next prime is 28362967. The reversal of 28362960 is 6926382.

28362960 is a `hidden beast` number, since 28 + 3 + 629 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28362967) 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, 18711 + ... + 20169.

It is an arithmetic number, because the mean of its divisors is an integer number (823732).

Almost surely, 2^28362960 is an apocalyptic number.

28362960 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 28362960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49423920).

28362960 is an abundant number, since it is smaller than the sum of its proper divisors (70484880).

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

28362960 is a wasteful number, since it uses less digits than its factorization.

28362960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 28362960 is about 5325.6886878600. The cubic root of 28362960 is about 304.9653637995.

The spelling of 28362960 in words is "twenty-eight million, three hundred sixty-two thousand, nine hundred sixty".