1282728 has 64 divisors (see below), whose sum is σ = 3528000. Its totient is φ = 387072.

The previous prime is 1282717. The next prime is 1282739. The reversal of 1282728 is 8272821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1282717) and next prime (1282739).

It is a super-2 number, since 2×1282728² = 3290782243968, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1282695 and 1282704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13176 + ... + 13272.

It is an arithmetic number, because the mean of its divisors is an integer number (55125).

2^1282728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1282728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764000).

1282728 is an abundant number, since it is smaller than the sum of its proper divisors (2245272).

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

1282728 is a wasteful number, since it uses less digits than its factorization.

1282728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 1282728 is about 1132.5758252762. The cubic root of 1282728 is about 108.6537846314.

The spelling of 1282728 in words is "one million, two hundred eighty-two thousand, seven hundred twenty-eight".