28311120 has 200 divisors, whose sum is σ = 104517864. Its totient is φ = 7077888.

The previous prime is 28311119. The next prime is 28311149. The reversal of 28311120 is 2111382.

It can be written as a sum of positive squares in 4 ways, for example, as 14561856 + 13749264 = 3816^2 + 3708^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 28311093 and 28311102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110032 + ... + 110288.

Almost surely, 2^28311120 is an apocalyptic number.

28311120 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 28311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52258932).

28311120 is an abundant number, since it is smaller than the sum of its proper divisors (76206744).

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

28311120 is a wasteful number, since it uses less digits than its factorization.

28311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 28311120 is about 5320.8194857559. The cubic root of 28311120 is about 304.7794517737.

The spelling of 28311120 in words is "twenty-eight million, three hundred eleven thousand, one hundred twenty".