214815328 has 96 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 83704320.

The previous prime is 214815319. The next prime is 214815353. The reversal of 214815328 is 823518412.

It is a happy number.

It is a super-2 number, since 2×214815328² = 92291250287495168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 214815293 and 214815302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206233 + ... + 207271.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^214815328 is an apocalyptic number.

214815328 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 214815328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

214815328 is an abundant number, since it is smaller than the sum of its proper divisors (313537952).

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

214815328 is a wasteful number, since it uses less digits than its factorization.

214815328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1132 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 214815328 is about 14656.5796828592. The cubic root of 214815328 is about 598.9010699649.

The spelling of 214815328 in words is "two hundred fourteen million, eight hundred fifteen thousand, three hundred twenty-eight".