428004680 has 32 divisors (see below), whose sum is σ = 981185400. Its totient is φ = 167970816.

The previous prime is 428004679. The next prime is 428004691. The reversal of 428004680 is 86400824.

428004680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 406344964 + 21659716 = 20158^2 + 4654^2 .

It is a super-2 number, since 2×428004680² = 366376012203804800, which contains 22 as substring.

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, 98825 + ... + 103064.

Almost surely, 2^428004680 is an apocalyptic number.

428004680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428004680 is an abundant number, since it is smaller than the sum of its proper divisors (553180720).

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

428004680 is a wasteful number, since it uses less digits than its factorization.

428004680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201953 (or 201949 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 428004680 is about 20688.2739734372. The cubic root of 428004680 is about 753.6149511401.

The spelling of 428004680 in words is "four hundred twenty-eight million, four thousand, six hundred eighty".