403921728 has 140 divisors (see below), whose sum is σ = 1368523552. Its totient is φ = 115395840.

The previous prime is 403921697. The next prime is 403921753. The reversal of 403921728 is 827129304.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 403921692 and 403921701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30723 + ... + 41853.

Almost surely, 2^403921728 is an apocalyptic number.

403921728 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 403921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684261776).

403921728 is an abundant number, since it is smaller than the sum of its proper divisors (964601824).

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

403921728 is a wasteful number, since it uses less digits than its factorization.

403921728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11162 (or 11143 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 403921728 is about 20097.8040591503. The cubic root of 403921728 is about 739.2064344186.

The spelling of 403921728 in words is "four hundred three million, nine hundred twenty-one thousand, seven hundred twenty-eight".