19009728 has 140 divisors (see below), whose sum is σ = 59623960. Its totient is φ = 5971968.

The previous prime is 19009693. The next prime is 19009729. The reversal of 19009728 is 82790091.

It is a happy number.

It is a super-2 number, since 2×19009728² = 722739517267968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19009692 and 19009701.

It is not an unprimeable number, because it can be changed into a prime (19009729) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98400 + ... + 98592.

Almost surely, 2^19009728 is an apocalyptic number.

19009728 is a gapful number since it is divisible by the number (18) 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 19009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29811980).

19009728 is an abundant number, since it is smaller than the sum of its proper divisors (40614232).

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

19009728 is a wasteful number, since it uses less digits than its factorization.

19009728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 19009728 is about 4360.0146788744. The cubic root of 19009728 is about 266.8856978236.

It can be divided in two parts, 1900 and 9728, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 19009728 in words is "nineteen million, nine thousand, seven hundred twenty-eight".