288982728 has 160 divisors (see below), whose sum is σ = 881436600. Its totient is φ = 88086528.

The previous prime is 288982717. The next prime is 288982751. The reversal of 288982728 is 827289882.

288982728 is a `hidden beast` number, since 288 + 98 + 272 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 274830084 + 14152644 = 16578^2 + 3762^2 .

It is a super-2 number, since 2×288982728² = 167022034164643968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2064384) is a multiple of the sum of its prime divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 407238 + ... + 407946.

Almost surely, 2^288982728 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 288982728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440718300).

288982728 is an abundant number, since it is smaller than the sum of its proper divisors (592453872).

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

288982728 is a wasteful number, since it uses less digits than its factorization.

288982728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 768 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 288982728 is about 16999.4919924097. The cubic root of 288982728 is about 661.1357304602.

It can be divided in two parts, 28898 and 2728, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 288982728 in words is "two hundred eighty-eight million, nine hundred eighty-two thousand, seven hundred twenty-eight".