782028 has 48 divisors (see below), whose sum is σ = 2187360. Its totient is φ = 240192.

The previous prime is 782011. The next prime is 782053. The reversal of 782028 is 820287.

It is a super-2 number, since 2×782028² = 1223135585568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 781992 and 782010.

It is an unprimeable number.

782028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (45570).

2⁷⁸²⁰²⁸ is an apocalyptic number.

782028 is a gapful number since it is divisible by the number (78) 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 782028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093680).

782028 is an abundant number, since it is smaller than the sum of its proper divisors (1405332).

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

782028 is a wasteful number, since it uses less digits than its factorization.

782028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 782028 is about 884.3234702302. The cubic root of 782028 is about 92.1313498726.

It can be divided in two parts, 78202 and 8, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 782028 in words is "seven hundred eighty-two thousand, twenty-eight".