48288000 has 144 divisors (see below), whose sum is σ = 160707456. Its totient is φ = 12851200.

The previous prime is 48287977. The next prime is 48288029. The reversal of 48288000 is 88284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95749 + ... + 96251.

It is an arithmetic number, because the mean of its divisors is an integer number (1116024).

Almost surely, 2^48288000 is an apocalyptic number.

48288000 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 48288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80353728).

48288000 is an abundant number, since it is smaller than the sum of its proper divisors (112419456).

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

48288000 is an equidigital number, since it uses as much as digits as its factorization.

48288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 48288000 is about 6948.9567562333. The cubic root of 48288000 is about 364.1495179334.

It can be divided in two parts, 48 and 288000, that multiplied together give a cube (13824000 = 240³).

The spelling of 48288000 in words is "forty-eight million, two hundred eighty-eight thousand".