48290688 has 128 divisors (see below), whose sum is σ = 145044000. Its totient is φ = 15814656.

The previous prime is 48290687. The next prime is 48290689. The reversal of 48290688 is 88609284.

It is a happy number.

48290688 is a `hidden beast` number, since 482 + 90 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (48290687) and next prime (48290689).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48290681) 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, 307506 + ... + 307662.

Almost surely, 2^48290688 is an apocalyptic number.

48290688 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 48290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72522000).

48290688 is an abundant number, since it is smaller than the sum of its proper divisors (96753312).

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

48290688 is a wasteful number, since it uses less digits than its factorization.

48290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

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

The square root of 48290688 is about 6949.1501638690. The cubic root of 48290688 is about 364.1562747242.

The spelling of 48290688 in words is "forty-eight million, two hundred ninety thousand, six hundred eighty-eight".