420128148 has 96 divisors (see below), whose sum is σ = 1104969600. Its totient is φ = 123136000.

The previous prime is 420128147. The next prime is 420128197. The reversal of 420128148 is 841821024.

It is a super-3 number, since 3×420128148³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420128147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806128 + ... + 806648.

It is an arithmetic number, because the mean of its divisors is an integer number (11510100).

Almost surely, 2^420128148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420128148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552484800).

420128148 is an abundant number, since it is smaller than the sum of its proper divisors (684841452).

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

420128148 is a wasteful number, since it uses less digits than its factorization.

420128148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 420128148 is about 20497.0277845350. The cubic root of 420128148 is about 748.9633963751.

The spelling of 420128148 in words is "four hundred twenty million, one hundred twenty-eight thousand, one hundred forty-eight".