19028640 has 96 divisors (see below), whose sum is σ = 62052480. Its totient is φ = 4895744.

The previous prime is 19028629. The next prime is 19028677. The reversal of 19028640 is 4682091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 19028598 and 19028607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13237 + ... + 14603.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 2^19028640 is an apocalyptic number.

19028640 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 19028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240).

19028640 is an abundant number, since it is smaller than the sum of its proper divisors (43023840).

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

19028640 is a wasteful number, since it uses less digits than its factorization.

19028640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 19028640 is about 4362.1829397677. The cubic root of 19028640 is about 266.9741730408.

The spelling of 19028640 in words is "nineteen million, twenty-eight thousand, six hundred forty".