478091328 has 168 divisors, whose sum is σ = 1498299264. Its totient is φ = 133647360.

The previous prime is 478091291. The next prime is 478091347. The reversal of 478091328 is 823190874.

It is a self number, because there is not a number n which added to its sum of digits gives 478091328.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 301225 + ... + 302807.

It is an arithmetic number, because the mean of its divisors is an integer number (8918448).

Almost surely, 2^478091328 is an apocalyptic number.

478091328 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 478091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749149632).

478091328 is an abundant number, since it is smaller than the sum of its proper divisors (1020207936).

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

478091328 is a wasteful number, since it uses less digits than its factorization.

478091328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 478091328 is about 21865.2996320654. The cubic root of 478091328 is about 781.9343442980.

The spelling of 478091328 in words is "four hundred seventy-eight million, ninety-one thousand, three hundred twenty-eight".