428504076 has 432 divisors, whose sum is σ = 1561577472. Its totient is φ = 96180480.

The previous prime is 428504039. The next prime is 428504081. The reversal of 428504076 is 670405824.

It is a super-2 number, since 2×428504076² = 367231486297227552, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 428504076.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9117085 + ... + 9117131.

Almost surely, 2^428504076 is an apocalyptic number.

428504076 is a gapful number since it is divisible by the number (46) 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 428504076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780788736).

428504076 is an abundant number, since it is smaller than the sum of its proper divisors (1133073396).

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

428504076 is a wasteful number, since it uses less digits than its factorization.

428504076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 428504076 is about 20700.3399972078. The cubic root of 428504076 is about 753.9079432720.

The spelling of 428504076 in words is "four hundred twenty-eight million, five hundred four thousand, seventy-six".