288026928 has 240 divisors, whose sum is σ = 1007435520. Its totient is φ = 77822208.

The previous prime is 288026923. The next prime is 288026939. The reversal of 288026928 is 829620882.

It is a super-2 number, since 2×288026928² = 165919022506234368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288026923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516826 + ... + 517382.

It is an arithmetic number, because the mean of its divisors is an integer number (4197648).

Almost surely, 2^288026928 is an apocalyptic number.

288026928 is a gapful number since it is divisible by the number (28) 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 288026928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503717760).

288026928 is an abundant number, since it is smaller than the sum of its proper divisors (719408592).

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

288026928 is a wasteful number, since it uses less digits than its factorization.

288026928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

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

The square root of 288026928 is about 16971.3561037414. The cubic root of 288026928 is about 660.4060311507.

The spelling of 288026928 in words is "two hundred eighty-eight million, twenty-six thousand, nine hundred twenty-eight".