48082880 has 112 divisors (see below), whose sum is σ = 122895360. Its totient is φ = 17875968.

The previous prime is 48082871. The next prime is 48082883. The reversal of 48082880 is 8828084.

48082880 = T₂₉₆ + T₂₉₇ + ... + T₆₇₉.

It is a super-3 number, since 3×48082880³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48082883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345851 + ... + 345989.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 2^48082880 is an apocalyptic number.

48082880 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 48082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

48082880 is an abundant number, since it is smaller than the sum of its proper divisors (74812480).

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

48082880 is a wasteful number, since it uses less digits than its factorization.

48082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The square root of 48082880 is about 6934.1819993421. The cubic root of 48082880 is about 363.6331690628.

The spelling of 48082880 in words is "forty-eight million, eighty-two thousand, eight hundred eighty".