403273728 has 480 divisors, whose sum is σ = 1498376880. Its totient is φ = 106168320.

The previous prime is 403273679. The next prime is 403273729. The reversal of 403273728 is 827372304.

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 = 403273692 and 403273701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403273729) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23721976 + ... + 23721992.

Almost surely, 2^403273728 is an apocalyptic number.

403273728 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 403273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749188440).

403273728 is an abundant number, since it is smaller than the sum of its proper divisors (1095103152).

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

403273728 is a wasteful number, since it uses less digits than its factorization.

403273728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 403273728 is about 20081.6764240439. The cubic root of 403273728 is about 738.8109269753.

The spelling of 403273728 in words is "four hundred three million, two hundred seventy-three thousand, seven hundred twenty-eight".