214468128 has 96 divisors (see below), whose sum is σ = 714913920. Its totient is φ = 61274880.

The previous prime is 214468063. The next prime is 214468129. The reversal of 214468128 is 821864412.

It is a tau number, because it is divible by the number of its divisors (96).

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 a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 214468092 and 214468101.

It is not an unprimeable number, because it can be changed into a prime (214468129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11683 + ... + 23778.

It is an arithmetic number, because the mean of its divisors is an integer number (7447020).

Almost surely, 2^214468128 is an apocalyptic number.

214468128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214468128 is an abundant number, since it is smaller than the sum of its proper divisors (500445792).

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

214468128 is a wasteful number, since it uses less digits than its factorization.

214468128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35487 (or 35473 counting only the distinct ones).

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

The square root of 214468128 is about 14644.7303833154. The cubic root of 214468128 is about 598.5782336284.

The spelling of 214468128 in words is "two hundred fourteen million, four hundred sixty-eight thousand, one hundred twenty-eight".