228631680 has 256 divisors, whose sum is σ = 823996800. Its totient is φ = 59904000.

The previous prime is 228631643. The next prime is 228631687. The reversal of 228631680 is 86136822.

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

It is not an unprimeable number, because it can be changed into a prime (228631687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745215 + ... + 1745345.

Almost surely, 2^228631680 is an apocalyptic number.

228631680 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 228631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411998400).

228631680 is an abundant number, since it is smaller than the sum of its proper divisors (595365120).

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

228631680 is a wasteful number, since it uses less digits than its factorization.

228631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 228631680 is about 15120.5714177739. The cubic root of 228631680 is about 611.4751363078.

The spelling of 228631680 in words is "two hundred twenty-eight million, six hundred thirty-one thousand, six hundred eighty".