28456960 has 96 divisors (see below), whose sum is σ = 78230880. Its totient is φ = 9732096.

The previous prime is 28456951. The next prime is 28456969. The reversal of 28456960 is 6965482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28456951) and next prime (28456969).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28456969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71482 + ... + 71878.

It is an arithmetic number, because the mean of its divisors is an integer number (814905).

Almost surely, 2^28456960 is an apocalyptic number.

28456960 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 28456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39115440).

28456960 is an abundant number, since it is smaller than the sum of its proper divisors (49773920).

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

28456960 is an equidigital number, since it uses as much as digits as its factorization.

28456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 28456960 is about 5334.5065376284. The cubic root of 28456960 is about 305.3018958287.

The spelling of 28456960 in words is "twenty-eight million, four hundred fifty-six thousand, nine hundred sixty".