16828800 has 96 divisors (see below), whose sum is σ = 55461480. Its totient is φ = 4485120.

The previous prime is 16828783. The next prime is 16828807. The reversal of 16828800 is 882861.

16828800 is nontrivially palindromic in base 7.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16828807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8724 + ... + 10476.

Almost surely, 2^16828800 is an apocalyptic number.

16828800 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 16828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27730740).

16828800 is an abundant number, since it is smaller than the sum of its proper divisors (38632680).

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

16828800 is a wasteful number, since it uses less digits than its factorization.

16828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 16828800 is about 4102.2920422613. The cubic root of 16828800 is about 256.2621013520.

The spelling of 16828800 in words is "sixteen million, eight hundred twenty-eight thousand, eight hundred".