48727680 has 128 divisors (see below), whose sum is σ = 159364800. Its totient is φ = 12656640.

The previous prime is 48727669. The next prime is 48727681. The reversal of 48727680 is 8672784.

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

It is not an unprimeable number, because it can be changed into a prime (48727681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78411 + ... + 79029.

Almost surely, 2^48727680 is an apocalyptic number.

48727680 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 48727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79682400).

48727680 is an abundant number, since it is smaller than the sum of its proper divisors (110637120).

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

48727680 is a wasteful number, since it uses less digits than its factorization.

48727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 48727680 is about 6980.5214704920. The cubic root of 48727680 is about 365.2514186969.

The spelling of 48727680 in words is "forty-eight million, seven hundred twenty-seven thousand, six hundred eighty".