16428192 has 96 divisors (see below), whose sum is σ = 48190464. Its totient is φ = 4857600.

The previous prime is 16428173. The next prime is 16428197. The reversal of 16428192 is 29182461.

16428192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (16428197) 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, 49467 + ... + 49797.

It is an arithmetic number, because the mean of its divisors is an integer number (501984).

Almost surely, 2^16428192 is an apocalyptic number.

16428192 is a gapful number since it is divisible by the number (12) 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 16428192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095232).

16428192 is an abundant number, since it is smaller than the sum of its proper divisors (31762272).

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

16428192 is a wasteful number, since it uses less digits than its factorization.

16428192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 16428192 is about 4053.1706107688. The cubic root of 16428192 is about 254.2123175668.

It can be divided in two parts, 16428 and 192, that multiplied together give a square (3154176 = 1776²).

The spelling of 16428192 in words is "sixteen million, four hundred twenty-eight thousand, one hundred ninety-two".