228615408 has 120 divisors (see below), whose sum is σ = 734465888. Its totient is φ = 65028096.

The previous prime is 228615407. The next prime is 228615427. The reversal of 228615408 is 804516822.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228615403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339360 + ... + 340032.

Almost surely, 2^228615408 is an apocalyptic number.

228615408 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 228615408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367232944).

228615408 is an abundant number, since it is smaller than the sum of its proper divisors (505850480).

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

228615408 is a wasteful number, since it uses less digits than its factorization.

228615408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 228615408 is about 15120.0333332966. The cubic root of 228615408 is about 611.4606294826.

The spelling of 228615408 in words is "two hundred twenty-eight million, six hundred fifteen thousand, four hundred eight".