16228800 has 378 divisors, whose sum is σ = 70015608. Its totient is φ = 3548160.

The previous prime is 16228799. The next prime is 16228801. The reversal of 16228800 is 882261.

16228800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16228799) and next prime (16228801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16228801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 705589 + ... + 705611.

Almost surely, 2^16228800 is an apocalyptic number.

16228800 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 16228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35007804).

16228800 is an abundant number, since it is smaller than the sum of its proper divisors (53786808).

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

16228800 is a wasteful number, since it uses less digits than its factorization.

16228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 16228800 is about 4028.4984795827. The cubic root of 16228800 is about 253.1796544077.

It can be divided in two parts, 162 and 28800, that multiplied together give a square (4665600 = 2160²).

The spelling of 16228800 in words is "sixteen million, two hundred twenty-eight thousand, eight hundred".