48090288 has 80 divisors (see below), whose sum is σ = 128134656. Its totient is φ = 15536640.

The previous prime is 48090281. The next prime is 48090293. The reversal of 48090288 is 88209084.

It is a happy number.

It is a super-3 number, since 3×48090288³ (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 (48090281) 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, 350956 + ... + 351092.

Almost surely, 2^48090288 is an apocalyptic number.

48090288 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 48090288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64067328).

48090288 is an abundant number, since it is smaller than the sum of its proper divisors (80044368).

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

48090288 is a wasteful number, since it uses less digits than its factorization.

48090288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 48090288 is about 6934.7161441547. The cubic root of 48090288 is about 363.6518427653.

The spelling of 48090288 in words is "forty-eight million, ninety thousand, two hundred eighty-eight".