19285000 has 160 divisors (see below), whose sum is σ = 56232000. Its totient is φ = 6048000.

The previous prime is 19284989. The next prime is 19285033. The reversal of 19285000 is 58291.

It is a super-2 number, since 2×19285000² = 743822450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 39 ways as a sum of consecutive naturals, for example, 664986 + ... + 665014.

It is an arithmetic number, because the mean of its divisors is an integer number (351450).

Almost surely, 2^19285000 is an apocalyptic number.

19285000 is a gapful number since it is divisible by the number (10) 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 19285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28116000).

19285000 is an abundant number, since it is smaller than the sum of its proper divisors (36947000).

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

19285000 is a wasteful number, since it uses less digits than its factorization.

19285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 19285000 is about 4391.4690025093. The cubic root of 19285000 is about 268.1677497343.

The spelling of 19285000 in words is "nineteen million, two hundred eighty-five thousand".