10019328 has 80 divisors (see below), whose sum is σ = 29167776. Its totient is φ = 3031040.

The previous prime is 10019309. The next prime is 10019357. The reversal of 10019328 is 82391001.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10019298 and 10019307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16600 + ... + 17192.

Almost surely, 2^10019328 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 10019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583888).

10019328 is an abundant number, since it is smaller than the sum of its proper divisors (19148448).

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

10019328 is an equidigital number, since it uses as much as digits as its factorization.

10019328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10019328 is about 3165.3322100532. The cubic root of 10019328 is about 215.5821827185.

The spelling of 10019328 in words is "ten million, nineteen thousand, three hundred twenty-eight".