1028400 has 60 divisors (see below), whose sum is σ = 3298152. Its totient is φ = 273920.

The previous prime is 1028393. The next prime is 1028411. The reversal of 1028400 is 48201.

1028400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1028400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 772 + ... + 1628.

2^1028400 is an apocalyptic number.

1028400 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 1028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649076).

1028400 is an abundant number, since it is smaller than the sum of its proper divisors (2269752).

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

1028400 is a wasteful number, since it uses less digits than its factorization.

1028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1028400 is about 1014.1005867270. The cubic root of 1028400 is about 100.9378436633.

The spelling of 1028400 in words is "one million, twenty-eight thousand, four hundred".