19132848 has 240 divisors, whose sum is σ = 68606720. Its totient is φ = 5038848.

The previous prime is 19132843. The next prime is 19132877. The reversal of 19132848 is 84823191.

It is a super-2 number, since 2×19132848² = 732131745182208, which contains 22 as substring.

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

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19132843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517086 + ... + 517122.

Almost surely, 2^19132848 is an apocalyptic number.

19132848 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 19132848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34303360).

19132848 is an abundant number, since it is smaller than the sum of its proper divisors (49473872).

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

19132848 is a wasteful number, since it uses less digits than its factorization.

19132848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 68 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 19132848 is about 4374.1111096999. Note that the first 4 decimals coincide. The cubic root of 19132848 is about 267.4606364764.

It can be divided in two parts, 1913 and 2848, that added together give a square (4761 = 69²).

The spelling of 19132848 in words is "nineteen million, one hundred thirty-two thousand, eight hundred forty-eight".