428195376 has 320 divisors, whose sum is σ = 1492761600. Its totient is φ = 114960384.

The previous prime is 428195351. The next prime is 428195389. The reversal of 428195376 is 673591824.

428195376 is a `hidden beast` number, since 428 + 195 + 37 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4811140 + ... + 4811228.

It is an arithmetic number, because the mean of its divisors is an integer number (4664880).

Almost surely, 2^428195376 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 428195376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746380800).

428195376 is an abundant number, since it is smaller than the sum of its proper divisors (1064566224).

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

428195376 is a wasteful number, since it uses less digits than its factorization.

428195376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 428195376 is about 20692.8822545338. The cubic root of 428195376 is about 753.7268580306.

The spelling of 428195376 in words is "four hundred twenty-eight million, one hundred ninety-five thousand, three hundred seventy-six".