420011928 has 288 divisors, whose sum is σ = 1440504000. Its totient is φ = 109799424.

The previous prime is 420011849. The next prime is 420011939. The reversal of 420011928 is 829110024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2818798 + ... + 2818946.

It is an arithmetic number, because the mean of its divisors is an integer number (5001750).

Almost surely, 2^420011928 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 420011928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720252000).

420011928 is an abundant number, since it is smaller than the sum of its proper divisors (1020492072).

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

420011928 is a wasteful number, since it uses less digits than its factorization.

420011928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 420011928 is about 20494.1925432548. The cubic root of 420011928 is about 748.8943281206.

The spelling of 420011928 in words is "four hundred twenty million, eleven thousand, nine hundred twenty-eight".