5828013100 has 288 divisors, whose sum is σ = 16688681856. Its totient is φ = 1714176000.

The previous prime is 5828013091. The next prime is 5828013137. The reversal of 5828013100 is 13108285.

It is a super-2 number, since 2×5828013100² = 67931473387543220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15624514 + ... + 15624886.

It is an arithmetic number, because the mean of its divisors is an integer number (57946812).

Almost surely, 2^5828013100 is an apocalyptic number.

5828013100 is a gapful number since it is divisible by the number (50) 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 5828013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344340928).

5828013100 is an abundant number, since it is smaller than the sum of its proper divisors (10860668756).

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

5828013100 is a wasteful number, since it uses less digits than its factorization.

5828013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 5828013100 is about 76341.4245347832. The cubic root of 5828013100 is about 1799.5897315988.

The spelling of 5828013100 in words is "five billion, eight hundred twenty-eight million, thirteen thousand, one hundred".