16345728 has 96 divisors (see below), whose sum is σ = 53782560. Its totient is φ = 4667904.

The previous prime is 16345727. The next prime is 16345729. The reversal of 16345728 is 82754361.

It is an interprime number because it is at equal distance from previous prime (16345727) and next prime (16345729).

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 junction number, because it is equal to n+sod(n) for n = 16345692 and 16345701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16345727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7051 + ... + 9077.

It is an arithmetic number, because the mean of its divisors is an integer number (560235).

Almost surely, 2^16345728 is an apocalyptic number.

16345728 is a gapful number since it is divisible by the number (18) 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 16345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26891280).

16345728 is an abundant number, since it is smaller than the sum of its proper divisors (37436832).

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

16345728 is a wasteful number, since it uses less digits than its factorization.

16345728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2039 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 16345728 is about 4042.9850358368. The cubic root of 16345728 is about 253.7862504125.

It can be divided in two parts, 16 and 345728, that added together give a square (345744 = 588²).

The spelling of 16345728 in words is "sixteen million, three hundred forty-five thousand, seven hundred twenty-eight".