402283728 has 360 divisors, whose sum is σ = 1468673856. Its totient is φ = 101606400.

The previous prime is 402283723. The next prime is 402283741. The reversal of 402283728 is 827382204.

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 = 402283692 and 402283701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402283723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5510700 + ... + 5510772.

Almost surely, 2^402283728 is an apocalyptic number.

402283728 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 402283728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734336928).

402283728 is an abundant number, since it is smaller than the sum of its proper divisors (1066390128).

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

402283728 is a wasteful number, since it uses less digits than its factorization.

402283728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 402283728 is about 20057.0119409647. The cubic root of 402283728 is about 738.2058605653.

It can be divided in two parts, 40228 and 3728, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 402283728 in words is "four hundred two million, two hundred eighty-three thousand, seven hundred twenty-eight".