427923168 has 96 divisors (see below), whose sum is σ = 1188028800. Its totient is φ = 134493696.

The previous prime is 427923161. The next prime is 427923179. The reversal of 427923168 is 861329724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×427923168² = 366236475422312448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427923161) 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, 515778 + ... + 516606.

It is an arithmetic number, because the mean of its divisors is an integer number (12375300).

Almost surely, 2^427923168 is an apocalyptic number.

427923168 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 427923168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594014400).

427923168 is an abundant number, since it is smaller than the sum of its proper divisors (760105632).

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

427923168 is a wasteful number, since it uses less digits than its factorization.

427923168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 427923168 is about 20686.3038747863. The cubic root of 427923168 is about 753.5671069888.

The spelling of 427923168 in words is "four hundred twenty-seven million, nine hundred twenty-three thousand, one hundred sixty-eight".