428980 has 24 divisors (see below), whose sum is σ = 914760. Its totient is φ = 168960.

The previous prime is 428977. The next prime is 429007. The reversal of 428980 is 89824.

428980 = T₁₂₆ + T₁₂₇ + ... + T₁₆₅.

It can be written as a sum of positive squares in 4 ways, for example, as 34596 + 394384 = 186^2 + 628^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1660 + ... + 1900.

It is an arithmetic number, because the mean of its divisors is an integer number (38115).

428980 is a Friedman number, since it can be written as 4820*89, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 482 ⋅ 890 (with its own digits).

2⁴²⁸⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

428980 is an abundant number, since it is smaller than the sum of its proper divisors (485780).

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

428980 is a wasteful number, since it uses less digits than its factorization.

428980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 428980 is about 654.9656479542. The cubic root of 428980 is about 75.4186952776.

The spelling of 428980 in words is "four hundred twenty-eight thousand, nine hundred eighty".