10035828 has 36 divisors (see below), whose sum is σ = 27675648. Its totient is φ = 3041040.

The previous prime is 10035799. The next prime is 10035833. The reversal of 10035828 is 82853001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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, 12276 + ... + 13067.

It is an arithmetic number, because the mean of its divisors is an integer number (768768).

Almost surely, 2^10035828 is an apocalyptic number.

10035828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10035828 is an abundant number, since it is smaller than the sum of its proper divisors (17639820).

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

10035828 is a wasteful number, since it uses less digits than its factorization.

10035828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25364 (or 25359 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10035828 is about 3167.9374993835. The cubic root of 10035828 is about 215.7004592858.

Adding to 10035828 its reverse (82853001), we get a palindrome (92888829).

The spelling of 10035828 in words is "ten million, thirty-five thousand, eight hundred twenty-eight".