54000288 has 72 divisors (see below), whose sum is σ = 155226708. Its totient is φ = 17805312.

The previous prime is 54000263. The next prime is 54000293. The reversal of 54000288 is 88200045.

It can be written as a sum of positive squares in 2 ways, for example, as 53758224 + 242064 = 7332^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×54000288² = 5832062208165888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26970 + ... + 28902.

Almost surely, 2^54000288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77613354).

54000288 is an abundant number, since it is smaller than the sum of its proper divisors (101226420).

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

54000288 is a wasteful number, since it uses less digits than its factorization.

54000288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 54000288 is about 7348.4888242413. The cubic root of 54000288 is about 377.9769869252.

The spelling of 54000288 in words is "fifty-four million, two hundred eighty-eight", and thus it is an aban number.