40284288 has 216 divisors, whose sum is σ = 135354765. Its totient is φ = 11489280.

The previous prime is 40284287. The next prime is 40284319. The reversal of 40284288 is 88248204.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 36869184 + 3415104 = 6072^2 + 1848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4488.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40284287) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2369656 + ... + 2369672.

Almost surely, 2^40284288 is an apocalyptic number.

40284288 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 40284288

40284288 is an abundant number, since it is smaller than the sum of its proper divisors (95070477).

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

40284288 is a wasteful number, since it uses less digits than its factorization.

40284288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 40284288 is about 6346.9904679305. The cubic root of 40284288 is about 342.8034868415.

Multiplying 40284288 by its product of nonzero digits (32768), we get a square (1320035549184 = 1148928²).

The spelling of 40284288 in words is "forty million, two hundred eighty-four thousand, two hundred eighty-eight".