428476972 has 144 divisors (see below), whose sum is σ = 1005480000. Its totient is φ = 159371520.

The previous prime is 428476933. The next prime is 428476973. The reversal of 428476972 is 279674824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (428476973) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4814304 + ... + 4814392.

It is an arithmetic number, because the mean of its divisors is an integer number (6982500).

Almost surely, 2^428476972 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 428476972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502740000).

428476972 is an abundant number, since it is smaller than the sum of its proper divisors (577003028).

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

428476972 is a wasteful number, since it uses less digits than its factorization.

428476972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 49.

The square root of 428476972 is about 20699.6853116177. The cubic root of 428476972 is about 753.8920473891.

The spelling of 428476972 in words is "four hundred twenty-eight million, four hundred seventy-six thousand, nine hundred seventy-two".