5828613120 has 352 divisors, whose sum is σ = 22602810240. Its totient is φ = 1412628480.

The previous prime is 5828613107. The next prime is 5828613121. The reversal of 5828613120 is 213168285.

It is a happy number.

5828613120 is a `hidden beast` number, since 5 + 8 + 28 + 613 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×5828613120² = 67945461805272268800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5828613121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1518724 + ... + 1522556.

Almost surely, 2^5828613120 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 5828613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11301405120).

5828613120 is an abundant number, since it is smaller than the sum of its proper divisors (16774197120).

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

5828613120 is a wasteful number, since it uses less digits than its factorization.

5828613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5828613120 is about 76345.3542790915. The cubic root of 5828613120 is about 1799.6514880818.

The spelling of 5828613120 in words is "five billion, eight hundred twenty-eight million, six hundred thirteen thousand, one hundred twenty".