427922028 has 288 divisors, whose sum is σ = 1320883200. Its totient is φ = 120185856.

The previous prime is 427922003. The next prime is 427922029. The reversal of 427922028 is 820229724.

It is a happy number.

427922028 is a `hidden beast` number, since 427 + 9 + 220 + 2 + 8 = 666.

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 = 427921983 and 427922001.

It is not an unprimeable number, because it can be changed into a prime (427922029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9104701 + ... + 9104747.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^427922028 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 427922028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

427922028 is an abundant number, since it is smaller than the sum of its proper divisors (892961172).

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

427922028 is a wasteful number, since it uses less digits than its factorization.

427922028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 427922028 is about 20686.2763203047. The cubic root of 427922028 is about 753.5664378132.

The spelling of 427922028 in words is "four hundred twenty-seven million, nine hundred twenty-two thousand, twenty-eight".