1828607616 has 256 divisors, whose sum is σ = 5957452800. Its totient is φ = 547568640.

The previous prime is 1828607603. The next prime is 1828607621. The reversal of 1828607616 is 6167068281.

It is a happy number.

1828607616 is a `hidden beast` number, since 1 + 8 + 28 + 6 + 0 + 7 + 616 = 666.

1828607616 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3915415 + ... + 3915881.

It is an arithmetic number, because the mean of its divisors is an integer number (23271300).

Almost surely, 2^1828607616 is an apocalyptic number.

1828607616 is a gapful number since it is divisible by the number (16) 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 1828607616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978726400).

1828607616 is an abundant number, since it is smaller than the sum of its proper divisors (4128845184).

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

1828607616 is a wasteful number, since it uses less digits than its factorization.

1828607616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1828607616 is about 42762.2218318927. The cubic root of 1828607616 is about 1222.8509015649.

The spelling of 1828607616 in words is "one billion, eight hundred twenty-eight million, six hundred seven thousand, six hundred sixteen".