1628400 has 120 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 408320.

The previous prime is 1628387. The next prime is 1628401. The reversal of 1628400 is 48261.

1628400 = 255² + 256² + ... + 277².

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27571 + ... + 27629.

It is an arithmetic number, because the mean of its divisors is an integer number (46128).

2^1628400 is an apocalyptic number.

1628400 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 1628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

1628400 is an abundant number, since it is smaller than the sum of its proper divisors (3906960).

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

1628400 is a wasteful number, since it uses less digits than its factorization.

1628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1628400 is about 1276.0877712759. The cubic root of 1628400 is about 117.6486725269.

The spelling of 1628400 in words is "one million, six hundred twenty-eight thousand, four hundred".