214265628 has 96 divisors (see below), whose sum is σ = 569325120. Its totient is φ = 69672960.

The previous prime is 214265599. The next prime is 214265633. The reversal of 214265628 is 826562412.

It is a happy number.

214265628 is a `hidden beast` number, since 2 + 1 + 4 + 26 + 5 + 628 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 214265592 and 214265601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183698 + ... + 1183878.

It is an arithmetic number, because the mean of its divisors is an integer number (5930470).

Almost surely, 2^214265628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214265628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284662560).

214265628 is an abundant number, since it is smaller than the sum of its proper divisors (355059492).

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

214265628 is a wasteful number, since it uses less digits than its factorization.

214265628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 214265628 is about 14637.8150008804. The cubic root of 214265628 is about 598.3897825319.

The spelling of 214265628 in words is "two hundred fourteen million, two hundred sixty-five thousand, six hundred twenty-eight".