423424128 has 128 divisors (see below), whose sum is σ = 1189728000. Its totient is φ = 133210112.

The previous prime is 423424123. The next prime is 423424147. The reversal of 423424128 is 821424324.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 423424095 and 423424104.

It is not an unprimeable number, because it can be changed into a prime (423424123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522988 + ... + 523796.

It is an arithmetic number, because the mean of its divisors is an integer number (9294750).

Almost surely, 2^423424128 is an apocalyptic number.

423424128 is a gapful number since it is divisible by the number (48) 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 423424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594864000).

423424128 is an abundant number, since it is smaller than the sum of its proper divisors (766303872).

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

423424128 is a wasteful number, since it uses less digits than its factorization.

423424128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 890 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 423424128 is about 20577.2721224170. The cubic root of 423424128 is about 750.9168804281.

It can be divided in two parts, 423 and 424128, that multiplied together give a cube (179406144 = 564³).

The spelling of 423424128 in words is "four hundred twenty-three million, four hundred twenty-four thousand, one hundred twenty-eight".