427628376 has 128 divisors (see below), whose sum is σ = 1367270400. Its totient is φ = 121305600.

The previous prime is 427628359. The next prime is 427628393. The reversal of 427628376 is 673826724.

427628376 is a `hidden beast` number, since 4 + 276 + 2 + 8 + 376 = 666.

It is an interprime number because it is at equal distance from previous prime (427628359) and next prime (427628393).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227376 + ... + 229248.

It is an arithmetic number, because the mean of its divisors is an integer number (10681800).

Almost surely, 2^427628376 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 427628376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683635200).

427628376 is an abundant number, since it is smaller than the sum of its proper divisors (939642024).

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

427628376 is a wasteful number, since it uses less digits than its factorization.

427628376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2036 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 427628376 is about 20679.1773530767. The cubic root of 427628376 is about 753.3940256181.

The spelling of 427628376 in words is "four hundred twenty-seven million, six hundred twenty-eight thousand, three hundred seventy-six".