4187189248 has 104 divisors (see below), whose sum is σ = 9200131200. Its totient is φ = 1889648640.

The previous prime is 4187189221. The next prime is 4187189291. The reversal of 4187189248 is 8429817814.

It is a junction number, because it is equal to n+sod(n) for n = 4187189195 and 4187189204.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8965911 + ... + 8966377.

It is an arithmetic number, because the mean of its divisors is an integer number (88462800).

Almost surely, 2^4187189248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4187189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600065600).

4187189248 is an abundant number, since it is smaller than the sum of its proper divisors (5012941952).

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

4187189248 is a wasteful number, since it uses less digits than its factorization.

4187189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 679 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 52.

The square root of 4187189248 is about 64708.4944037489. The cubic root of 4187189248 is about 1611.7865599220.

The spelling of 4187189248 in words is "four billion, one hundred eighty-seven million, one hundred eighty-nine thousand, two hundred forty-eight".