228966528 has 128 divisors (see below), whose sum is σ = 702673920. Its totient is φ = 64705536.

The previous prime is 228966497. The next prime is 228966559. The reversal of 228966528 is 825669822.

228966528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228966497) and next prime (228966559).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276451 + ... + 277277.

It is an arithmetic number, because the mean of its divisors is an integer number (5489640).

Almost surely, 2^228966528 is an apocalyptic number.

228966528 is a gapful number since it is divisible by the number (28) 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 228966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351336960).

228966528 is an abundant number, since it is smaller than the sum of its proper divisors (473707392).

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

228966528 is a wasteful number, since it uses less digits than its factorization.

228966528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 942 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 228966528 is about 15131.6399639960. The cubic root of 228966528 is about 611.7735075425.

The spelling of 228966528 in words is "two hundred twenty-eight million, nine hundred sixty-six thousand, five hundred twenty-eight".