1007828 has 12 divisors (see below), whose sum is σ = 1867572. Its totient is φ = 474240.

The previous prime is 1007827. The next prime is 1007857. The reversal of 1007828 is 8287001.

1007828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 620944 + 386884 = 788^2 + 622^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1007797 and 1007806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7343 + ... + 7478.

It is an arithmetic number, because the mean of its divisors is an integer number (155631).

2^1007828 is an apocalyptic number.

It is an amenable number.

1007828 is a deficient number, since it is larger than the sum of its proper divisors (859744).

1007828 is a wasteful number, since it uses less digits than its factorization.

1007828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14842 (or 14840 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 1007828 is about 1003.9063701362. The cubic root of 1007828 is about 100.2602554169.

The spelling of 1007828 in words is "one million, seven thousand, eight hundred twenty-eight".