428127840 has 144 divisors (see below), whose sum is σ = 1669737888. Its totient is φ = 97855488.

The previous prime is 428127839. The next prime is 428127857. The reversal of 428127840 is 48721824.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 428127795 and 428127804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11157 + ... + 31316.

It is an arithmetic number, because the mean of its divisors is an integer number (11595402).

Almost surely, 2^428127840 is an apocalyptic number.

428127840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428127840 is an abundant number, since it is smaller than the sum of its proper divisors (1241610048).

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

428127840 is a wasteful number, since it uses less digits than its factorization.

428127840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42501 (or 42490 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 428127840 is about 20691.2503247146. The cubic root of 428127840 is about 753.6872294122.

The spelling of 428127840 in words is "four hundred twenty-eight million, one hundred twenty-seven thousand, eight hundred forty".