49280688 has 120 divisors (see below), whose sum is σ = 149896656. Its totient is φ = 15052800.

The previous prime is 49280639. The next prime is 49280701. The reversal of 49280688 is 88608294.

It is a happy number.

49280688 is a `hidden beast` number, since 492 + 80 + 6 + 88 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100123 + ... + 100613.

Almost surely, 2^49280688 is an apocalyptic number.

49280688 is a gapful number since it is divisible by the number (48) 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 49280688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74948328).

49280688 is an abundant number, since it is smaller than the sum of its proper divisors (100615968).

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

49280688 is a wasteful number, since it uses less digits than its factorization.

49280688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 49280688 is about 7020.0205127905. The cubic root of 49280688 is about 366.6279643264.

The spelling of 49280688 in words is "forty-nine million, two hundred eighty thousand, six hundred eighty-eight".