28753920 has 240 divisors, whose sum is σ = 110097120. Its totient is φ = 7077888.

The previous prime is 28753909. The next prime is 28753937. The reversal of 28753920 is 2935782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211834 + ... + 2211846.

It is an arithmetic number, because the mean of its divisors is an integer number (458738).

Almost surely, 2^28753920 is an apocalyptic number.

28753920 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 28753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55048560).

28753920 is an abundant number, since it is smaller than the sum of its proper divisors (81343200).

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

28753920 is an equidigital number, since it uses as much as digits as its factorization.

28753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 28753920 is about 5362.2681768073. The cubic root of 28753920 is about 306.3602063453.

The spelling of 28753920 in words is "twenty-eight million, seven hundred fifty-three thousand, nine hundred twenty".