428976 has 50 divisors (see below), whose sum is σ = 1245332. Its totient is φ = 142560.

The previous prime is 428957. The next prime is 428977. The reversal of 428976 is 679824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁷ + 2¹⁷ + 9³ + 8³ + 7³ + 6⁷ .

Its product of digits (24192) is a multiple of the sum of its prime divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 428976.

It is not an unprimeable number, because it can be changed into a prime (428977) by changing a digit.

428976 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1131 + ... + 1461.

2⁴²⁸⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622666).

428976 is an abundant number, since it is smaller than the sum of its proper divisors (816356).

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

428976 is a wasteful number, since it uses less digits than its factorization.

428976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 428976 is about 654.9625943518. The cubic root of 428976 is about 75.4184608644.

The spelling of 428976 in words is "four hundred twenty-eight thousand, nine hundred seventy-six".