228765624 has 64 divisors (see below), whose sum is σ = 605280000. Its totient is φ = 71850240.

The previous prime is 228765623. The next prime is 228765631. The reversal of 228765624 is 426567822.

It is a Cunningham number, because it is equal to 15125²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228765623) 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, 89484 + ... + 92004.

It is an arithmetic number, because the mean of its divisors is an integer number (9457500).

Almost surely, 2^228765624 is an apocalyptic number.

228765624 is a gapful number since it is divisible by the number (24) 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 228765624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302640000).

228765624 is an abundant number, since it is smaller than the sum of its proper divisors (376514376).

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

228765624 is a wasteful number, since it uses less digits than its factorization.

228765624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2744 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 228765624 is about 15124.9999669421. Note that the first 4 decimals coincide. The cubic root of 228765624 is about 611.5945240154.

The spelling of 228765624 in words is "two hundred twenty-eight million, seven hundred sixty-five thousand, six hundred twenty-four".