16328000 has 112 divisors (see below), whose sum is σ = 43824144. Its totient is φ = 5990400.

The previous prime is 16327943. The next prime is 16328027. The reversal of 16328000 is 82361.

It can be written as a sum of positive squares in 8 ways, for example, as 10137856 + 6190144 = 3184^2 + 2488^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103922 + ... + 104078.

It is an arithmetic number, because the mean of its divisors is an integer number (391287).

Almost surely, 2^16328000 is an apocalyptic number.

16328000 is a gapful number since it is divisible by the number (10) 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 16328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21912072).

16328000 is an abundant number, since it is smaller than the sum of its proper divisors (27496144).

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

16328000 is a wasteful number, since it uses less digits than its factorization.

16328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 16328000 is about 4040.7920015759. The cubic root of 16328000 is about 253.6944680182.

The spelling of 16328000 in words is "sixteen million, three hundred twenty-eight thousand".