5577888 has 48 divisors (see below), whose sum is σ = 14817600. Its totient is φ = 1837056.

The previous prime is 5577851. The next prime is 5577959. The reversal of 5577888 is 8887755.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5577888² = 62225669081088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9013 + ... + 9611.

It is an arithmetic number, because the mean of its divisors is an integer number (308700).

Almost surely, 2^5577888 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 5577888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408800).

5577888 is an abundant number, since it is smaller than the sum of its proper divisors (9239712).

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

5577888 is a wasteful number, since it uses less digits than its factorization.

5577888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 701 counting only the distinct ones).

The product of its digits is 627200, while the sum is 48.

The square root of 5577888 is about 2361.7552794479. The cubic root of 5577888 is about 177.3467618803.

The spelling of 5577888 in words is "five million, five hundred seventy-seven thousand, eight hundred eighty-eight".