5282979840 has 448 divisors, whose sum is σ = 19958425920. Its totient is φ = 1321205760.

The previous prime is 5282979839. The next prime is 5282979841. The reversal of 5282979840 is 489792825.

5282979840 is a `hidden beast` number, since 528 + 2 + 9 + 79 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5282979839) and next prime (5282979841).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5282979841) 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, 18800500 + ... + 18800780.

Almost surely, 2^5282979840 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 5282979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979212960).

5282979840 is an abundant number, since it is smaller than the sum of its proper divisors (14675446080).

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

5282979840 is a wasteful number, since it uses less digits than its factorization.

5282979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 5282979840 is about 72684.1099553403. The cubic root of 5282979840 is about 1741.6450553955.

The spelling of 5282979840 in words is "five billion, two hundred eighty-two million, nine hundred seventy-nine thousand, eight hundred forty".