47282528979840 has 512 divisors, whose sum is σ = 190013309568000. Its totient is φ = 9714545786880.

The previous prime is 47282528979787. The next prime is 47282528979859. The reversal of 47282528979840 is 4897982528274.

It is a super-2 number, since 2×47282528979840² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11361006 + ... + 14954514.

It is an arithmetic number, because the mean of its divisors is an integer number (371119745250).

Almost surely, 2^{47282528979840} is an apocalyptic number.

47282528979840 is a gapful number since it is divisible by the number (40) 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 47282528979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95006654784000).

47282528979840 is an abundant number, since it is smaller than the sum of its proper divisors (142730780588160).

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

47282528979840 is a wasteful number, since it uses less digits than its factorization.

47282528979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593638 (or 3593626 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 75.

The spelling of 47282528979840 in words is "forty-seven trillion, two hundred eighty-two billion, five hundred twenty-eight million, nine hundred seventy-nine thousand, eight hundred forty".