213228288 has 360 divisors, whose sum is σ = 789458208. Its totient is φ = 55738368.

The previous prime is 213228277. The next prime is 213228293. The reversal of 213228288 is 882822312.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1886920 + ... + 1887032.

Almost surely, 2^213228288 is an apocalyptic number.

213228288 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 213228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394729104).

213228288 is an abundant number, since it is smaller than the sum of its proper divisors (576229920).

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

213228288 is a wasteful number, since it uses less digits than its factorization.

213228288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 213228288 is about 14602.3384428659. The cubic root of 213228288 is about 597.4225437196.

The spelling of 213228288 in words is "two hundred thirteen million, two hundred twenty-eight thousand, two hundred eighty-eight".