1288728 has 48 divisors (see below), whose sum is σ = 3990480. Its totient is φ = 368064.

The previous prime is 1288711. The next prime is 1288733. The reversal of 1288728 is 8278821.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1288692 and 1288701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 775 + ... + 1782.

It is an arithmetic number, because the mean of its divisors is an integer number (83135).

2^1288728 is an apocalyptic number.

1288728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1288728 is an abundant number, since it is smaller than the sum of its proper divisors (2701752).

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

1288728 is a wasteful number, since it uses less digits than its factorization.

1288728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2569 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 1288728 is about 1135.2215642772. The cubic root of 1288728 is about 108.8229316572.

It can be divided in two parts, 1288 and 728, that added together give a triangular number (2016 = T₆₃).

The spelling of 1288728 in words is "one million, two hundred eighty-eight thousand, seven hundred twenty-eight".