228629520 has 160 divisors (see below), whose sum is σ = 900061440. Its totient is φ = 52254720.

The previous prime is 228629501. The next prime is 228629539. The reversal of 228629520 is 25926822.

228629520 is a `hidden beast` number, since 2 + 2 + 8 + 629 + 5 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (228629501) and next prime (228629539).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7560 + ... + 22680.

It is an arithmetic number, because the mean of its divisors is an integer number (5625384).

Almost surely, 2^228629520 is an apocalyptic number.

228629520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 15120×15121.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228629520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450030720).

228629520 is an abundant number, since it is smaller than the sum of its proper divisors (671431920).

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

228629520 is a wasteful number, since it uses less digits than its factorization.

228629520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15150 (or 15138 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 228629520 is about 15120.4999917331. The cubic root of 228629520 is about 611.4732106627.

The spelling of 228629520 in words is "two hundred twenty-eight million, six hundred twenty-nine thousand, five hundred twenty".