1428300 has 108 divisors (see below), whose sum is σ = 4800040. Its totient is φ = 364320.

The previous prime is 1428281. The next prime is 1428359. The reversal of 1428300 is 38241.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62089 + ... + 62111.

2^1428300 is an apocalyptic number.

1428300 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 1428300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400020).

1428300 is an abundant number, since it is smaller than the sum of its proper divisors (3371740).

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

1428300 is a wasteful number, since it uses less digits than its factorization.

1428300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1428300 is about 1195.1150572225. The cubic root of 1428300 is about 112.6176546893.

Multiplying 1428300 by its product of nonzero digits (192), we get a square (274233600 = 16560²).

It can be divided in two parts, 1428 and 300, that added together give a cube (1728 = 12³).

The spelling of 1428300 in words is "one million, four hundred twenty-eight thousand, three hundred".