804623328 has 192 divisors, whose sum is σ = 2571912000. Its totient is φ = 243597312.

The previous prime is 804623249. The next prime is 804623341. The reversal of 804623328 is 823326408.

804623328 is a `hidden beast` number, since 8 + 0 + 4 + 623 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 804623292 and 804623301.

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, 425008 + ... + 426896.

It is an arithmetic number, because the mean of its divisors is an integer number (13395375).

Almost surely, 2^804623328 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 804623328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285956000).

804623328 is an abundant number, since it is smaller than the sum of its proper divisors (1767288672).

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

804623328 is a wasteful number, since it uses less digits than its factorization.

804623328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 804623328 is about 28365.8831697517. The cubic root of 804623328 is about 930.1026317536.

The spelling of 804623328 in words is "eight hundred four million, six hundred twenty-three thousand, three hundred twenty-eight".