1428880 has 40 divisors (see below), whose sum is σ = 3394872. Its totient is φ = 559104.

The previous prime is 1428863. The next prime is 1428887. The reversal of 1428880 is 888241.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 1290496 = 372^2 + 1136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1428887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4072 + ... + 4408.

2^1428880 is an apocalyptic number.

1428880 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 1428880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697436).

1428880 is an abundant number, since it is smaller than the sum of its proper divisors (1965992).

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

1428880 is a wasteful number, since it uses less digits than its factorization.

1428880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1428880 is about 1195.3576870544. The cubic root of 1428880 is about 112.6328964453.

The spelling of 1428880 in words is "one million, four hundred twenty-eight thousand, eight hundred eighty".