228126720 has 208 divisors, whose sum is σ = 754882560. Its totient is φ = 58785792.

The previous prime is 228126709. The next prime is 228126727. The reversal of 228126720 is 27621822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228126727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2887641 + ... + 2887719.

Almost surely, 2^228126720 is an apocalyptic number.

228126720 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 228126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377441280).

228126720 is an abundant number, since it is smaller than the sum of its proper divisors (526755840).

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

228126720 is an equidigital number, since it uses as much as digits as its factorization.

228126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 228126720 is about 15103.8644061710. The cubic root of 228126720 is about 611.0246328564.

The spelling of 228126720 in words is "two hundred twenty-eight million, one hundred twenty-six thousand, seven hundred twenty".