82248929280 has 728 divisors, whose sum is σ = 338629307712. Its totient is φ = 18775867392.

The previous prime is 82248929267. The next prime is 82248929281. The reversal of 82248929280 is 8292984228.

It is a happy number.

82248929280 is a `hidden beast` number, since 82 + 2 + 489 + 2 + 9 + 2 + 80 = 666.

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 (82248929281) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 104509047 + ... + 104509833.

Almost surely, 2^82248929280 is an apocalyptic number.

82248929280 is a gapful number since it is divisible by the number (80) 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 82248929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169314653856).

82248929280 is an abundant number, since it is smaller than the sum of its proper divisors (256380378432).

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

82248929280 is an frugal number, since it uses more digits than its factorization.

82248929280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 82248929280 in words is "eighty-two billion, two hundred forty-eight million, nine hundred twenty-nine thousand, two hundred eighty".