82048249728 has 128 divisors (see below), whose sum is σ = 242707449600. Its totient is φ = 27287170560.

The previous prime is 82048249711. The next prime is 82048249757. The reversal of 82048249728 is 82794284028.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504213 + ... + 1557803.

It is an arithmetic number, because the mean of its divisors is an integer number (1896151950).

Almost surely, 2^82048249728 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 82048249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121353724800).

82048249728 is an abundant number, since it is smaller than the sum of its proper divisors (160659199872).

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

82048249728 is a wasteful number, since it uses less digits than its factorization.

82048249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54057 (or 54039 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

It can be divided in two parts, 82048 and 249728, that added together give a 4-th power (331776 = 24⁴).

The spelling of 82048249728 in words is "eighty-two billion, forty-eight million, two hundred forty-nine thousand, seven hundred twenty-eight".