427994928 has 240 divisors, whose sum is σ = 1325915136. Its totient is φ = 133436160.

The previous prime is 427994921. The next prime is 427994929. The reversal of 427994928 is 829499724.

It is a super-3 number, since 3×427994928³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (427994921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6387951 + ... + 6388017.

Almost surely, 2^427994928 is an apocalyptic number.

427994928 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 427994928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662957568).

427994928 is an abundant number, since it is smaller than the sum of its proper divisors (897920208).

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

427994928 is a wasteful number, since it uses less digits than its factorization.

427994928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 427994928 is about 20688.0382830272. The cubic root of 427994928 is about 753.6092274419.

The spelling of 427994928 in words is "four hundred twenty-seven million, nine hundred ninety-four thousand, nine hundred twenty-eight".