403681728 has 56 divisors (see below), whose sum is σ = 1130911632. Its totient is φ = 126644224.

The previous prime is 403681727. The next prime is 403681753. The reversal of 403681728 is 827186304.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403681727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58575 + ... + 65102.

Almost surely, 2^403681728 is an apocalyptic number.

403681728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

403681728 is an abundant number, since it is smaller than the sum of its proper divisors (727229904).

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

403681728 is a wasteful number, since it uses less digits than its factorization.

403681728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123709 (or 123699 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 403681728 is about 20091.8323703937. The cubic root of 403681728 is about 739.0599995353.

It can be divided in two parts, 40368 and 1728, that multiplied together give a square (69755904 = 8352²).

The spelling of 403681728 in words is "four hundred three million, six hundred eighty-one thousand, seven hundred twenty-eight".