428428435120 has 40 divisors (see below), whose sum is σ = 1138395557664. Its totient is φ = 146889748992.

The previous prime is 428428435073. The next prime is 428428435121. The reversal of 428428435120 is 21534824824.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (428428435121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382524829 + ... + 382525948.

Almost surely, 2^428428435120 is an apocalyptic number.

428428435120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428428435120 is an abundant number, since it is smaller than the sum of its proper divisors (709967122544).

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

428428435120 is a wasteful number, since it uses less digits than its factorization.

428428435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765050797 (or 765050791 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 43.

The spelling of 428428435120 in words is "four hundred twenty-eight billion, four hundred twenty-eight million, four hundred thirty-five thousand, one hundred twenty".