428491008 has 324 divisors, whose sum is σ = 1431300780. Its totient is φ = 123002880.

The previous prime is 428490971. The next prime is 428491009. The reversal of 428491008 is 800194824.

It can be written as a sum of positive squares in 2 ways, for example, as 267911424 + 160579584 = 16368^2 + 12672^2 .

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

It is not an unprimeable number, because it can be changed into a prime (428491009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8084710 + ... + 8084762.

It is an arithmetic number, because the mean of its divisors is an integer number (4417595).

Almost surely, 2^428491008 is an apocalyptic number.

428491008 is a gapful number since it is divisible by the number (48) 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 428491008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715650390).

428491008 is an abundant number, since it is smaller than the sum of its proper divisors (1002809772).

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

428491008 is a wasteful number, since it uses less digits than its factorization.

428491008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 428491008 is about 20700.0243478118. The cubic root of 428491008 is about 753.9002792693.

The spelling of 428491008 in words is "four hundred twenty-eight million, four hundred ninety-one thousand, eight".