10074828 has 48 divisors (see below), whose sum is σ = 24788736. Its totient is φ = 3178560.

The previous prime is 10074811. The next prime is 10074839. The reversal of 10074828 is 82847001.

It is a junction number, because it is equal to n+sod(n) for n = 10074795 and 10074804.

It is a congruent number.

It is an unprimeable 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, 47643 + ... + 47853.

It is an arithmetic number, because the mean of its divisors is an integer number (516432).

Almost surely, 2^10074828 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 10074828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394368).

10074828 is an abundant number, since it is smaller than the sum of its proper divisors (14713908).

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

10074828 is a wasteful number, since it uses less digits than its factorization.

10074828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 412 counting only the distinct ones).

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

The square root of 10074828 is about 3174.0869553306. The cubic root of 10074828 is about 215.9795076581.

It can be divided in two parts, 1007482 and 8, that added together give a triangular number (1007490 = T₁₄₁₉).

The spelling of 10074828 in words is "ten million, seventy-four thousand, eight hundred twenty-eight".