19132128 has 36 divisors (see below), whose sum is σ = 54407808. Its totient is φ = 6377280.

The previous prime is 19132121. The next prime is 19132133. The reversal of 19132128 is 82123191.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19132121) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 32928 + ... + 33503.

It is an arithmetic number, because the mean of its divisors is an integer number (1511328).

Almost surely, 2^19132128 is an apocalyptic number.

19132128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19132128 is an abundant number, since it is smaller than the sum of its proper divisors (35275680).

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

19132128 is a wasteful number, since it uses less digits than its factorization.

19132128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66447 (or 66436 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 19132128 is about 4374.0288064895. The cubic root of 19132128 is about 267.4572814423.

The spelling of 19132128 in words is "nineteen million, one hundred thirty-two thousand, one hundred twenty-eight".