228132640 has 96 divisors (see below), whose sum is σ = 553512960. Its totient is φ = 88833024.

The previous prime is 228132637. The next prime is 228132643. The reversal of 228132640 is 46231822.

It is an interprime number because it is at equal distance from previous prime (228132637) and next prime (228132643).

It is a junction number, because it is equal to n+sod(n) for n = 228132599 and 228132608.

It is not an unprimeable number, because it can be changed into a prime (228132643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1796257 + ... + 1796383.

It is an arithmetic number, because the mean of its divisors is an integer number (5765760).

Almost surely, 2^228132640 is an apocalyptic number.

228132640 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 228132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276756480).

228132640 is an abundant number, since it is smaller than the sum of its proper divisors (325380320).

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

228132640 is a wasteful number, since it uses less digits than its factorization.

228132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 228132640 is about 15104.0603812352. The cubic root of 228132640 is about 611.0299182734.

The spelling of 228132640 in words is "two hundred twenty-eight million, one hundred thirty-two thousand, six hundred forty".