228510720 has 440 divisors, whose sum is σ = 891673200. Its totient is φ = 55738368.

The previous prime is 228510673. The next prime is 228510743. The reversal of 228510720 is 27015822.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7879666 + ... + 7879694.

It is an arithmetic number, because the mean of its divisors is an integer number (2026530).

Almost surely, 2^228510720 is an apocalyptic number.

228510720 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 228510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445836600).

228510720 is an abundant number, since it is smaller than the sum of its proper divisors (663162480).

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

228510720 is a wasteful number, since it uses less digits than its factorization.

228510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 228510720 is about 15116.5710397563. The cubic root of 228510720 is about 611.3672814965.

The spelling of 228510720 in words is "two hundred twenty-eight million, five hundred ten thousand, seven hundred twenty".