21428160 has 224 divisors, whose sum is σ = 78345792. Its totient is φ = 4915200.

The previous prime is 21428153. The next prime is 21428189. The reversal of 21428160 is 6182412.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21428160.

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 31 ways as a sum of consecutive naturals, for example, 212110 + ... + 212210.

It is an arithmetic number, because the mean of its divisors is an integer number (349758).

Almost surely, 2^21428160 is an apocalyptic number.

21428160 is a gapful number since it is divisible by the number (20) 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 21428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39172896).

21428160 is an abundant number, since it is smaller than the sum of its proper divisors (56917632).

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

21428160 is a wasteful number, since it uses less digits than its factorization.

21428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 21428160 is about 4629.0560592847. The cubic root of 21428160 is about 277.7548344902.

The spelling of 21428160 in words is "twenty-one million, four hundred twenty-eight thousand, one hundred sixty".