85828447488 has 288 divisors, whose sum is σ = 268340244480. Its totient is φ = 23842897920.

The previous prime is 85828447459. The next prime is 85828447489. The reversal of 85828447488 is 88474482858.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85828447489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96762181 + ... + 96763067.

It is an arithmetic number, because the mean of its divisors is an integer number (931736960).

Almost surely, 2^85828447488 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 85828447488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134170122240).

85828447488 is an abundant number, since it is smaller than the sum of its proper divisors (182511796992).

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

85828447488 is a wasteful number, since it uses less digits than its factorization.

85828447488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1379 counting only the distinct ones).

The product of its digits is 146800640, while the sum is 66.

The spelling of 85828447488 in words is "eighty-five billion, eight hundred twenty-eight million, four hundred forty-seven thousand, four hundred eighty-eight".