214820928 has 84 divisors (see below), whose sum is σ = 703722240. Its totient is φ = 61376256.

The previous prime is 214820911. The next prime is 214820939. The reversal of 214820928 is 829028412.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×214820928² = 92296062213562368, which contains 22 as substring.

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 = 214820892 and 214820901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22608 + ... + 30671.

Almost surely, 2^214820928 is an apocalyptic number.

214820928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214820928 is an abundant number, since it is smaller than the sum of its proper divisors (488901312).

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

214820928 is a wasteful number, since it uses less digits than its factorization.

214820928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53304 (or 53291 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 214820928 is about 14656.7707220929. The cubic root of 214820928 is about 598.9062741511.

The spelling of 214820928 in words is "two hundred fourteen million, eight hundred twenty thousand, nine hundred twenty-eight".