404155728 has 60 divisors (see below), whose sum is σ = 1138626528. Its totient is φ = 133819200.

The previous prime is 404155709. The next prime is 404155751. The reversal of 404155728 is 827551404.

404155728 is a `hidden beast` number, since 40 + 41 + 5 + 572 + 8 = 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 = 404155692 and 404155701.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 12451 + ... + 31037.

Almost surely, 2^404155728 is an apocalyptic number.

404155728 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 404155728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569313264).

404155728 is an abundant number, since it is smaller than the sum of its proper divisors (734470800).

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

404155728 is a wasteful number, since it uses less digits than its factorization.

404155728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18752 (or 18743 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 404155728 is about 20103.6247477911. The cubic root of 404155728 is about 739.3491525922.

The spelling of 404155728 in words is "four hundred four million, one hundred fifty-five thousand, seven hundred twenty-eight".