428820840 has 96 divisors (see below), whose sum is σ = 1592772480. Its totient is φ = 98015616.

The previous prime is 428820839. The next prime is 428820841. The reversal of 428820840 is 48028824.

It is an interprime number because it is at equal distance from previous prime (428820839) and next prime (428820841).

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 = 428820795 and 428820804.

It is not an unprimeable number, because it can be changed into a prime (428820841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82564 + ... + 87603.

It is an arithmetic number, because the mean of its divisors is an integer number (16591380).

Almost surely, 2^428820840 is an apocalyptic number.

428820840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428820840 is an abundant number, since it is smaller than the sum of its proper divisors (1163951640).

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

428820840 is a wasteful number, since it uses less digits than its factorization.

428820840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170191 (or 170184 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 428820840 is about 20707.9897624081. The cubic root of 428820840 is about 754.0936685176.

The spelling of 428820840 in words is "four hundred twenty-eight million, eight hundred twenty thousand, eight hundred forty".