5577828 has 12 divisors (see below), whose sum is σ = 13014960. Its totient is φ = 1859272.

The previous prime is 5577827. The next prime is 5577833. The reversal of 5577828 is 8287755.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×5577828² = 62224330395168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5577828.

It is not an unprimeable number, because it can be changed into a prime (5577821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 232398 + ... + 232421.

It is an arithmetic number, because the mean of its divisors is an integer number (1084580).

Almost surely, 2^5577828 is an apocalyptic number.

It is an amenable number.

5577828 is an abundant number, since it is smaller than the sum of its proper divisors (7437132).

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

5577828 is a wasteful number, since it uses less digits than its factorization.

5577828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464826 (or 464824 counting only the distinct ones).

The product of its digits is 156800, while the sum is 42.

The square root of 5577828 is about 2361.7425769969. The cubic root of 5577828 is about 177.3461259859.

It can be divided in two parts, 557 and 7828, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 5577828 in words is "five million, five hundred seventy-seven thousand, eight hundred twenty-eight".