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5828018688 = 2935139337
BaseRepresentation
bin1010110110110000…
…01000001000000000
3120001011110000200000
411123120020020000
543413433044223
62402150400000
7264265225062
oct53330101000
916034400600
105828018688
112520845778
121167960000
1371b57198b
143d4041732
152419b5543
hex15b608200

5828018688 has 240 divisors, whose sum is σ = 17620643040. Its totient is φ = 1922973696.

The previous prime is 5828018681. The next prime is 5828018711. The reversal of 5828018688 is 8868108285.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5828018681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17293656 + ... + 17293992.

It is an arithmetic number, because the mean of its divisors is an integer number (73419346).

Almost surely, 25828018688 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 5828018688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810321520).

5828018688 is an abundant number, since it is smaller than the sum of its proper divisors (11792624352).

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

5828018688 is an equidigital number, since it uses as much as digits as its factorization.

5828018688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The square root of 5828018688 is about 76341.4611335151. The cubic root of 5828018688 is about 1799.5903067579.

The spelling of 5828018688 in words is "five billion, eight hundred twenty-eight million, eighteen thousand, six hundred eighty-eight".