288982980 has 288 divisors, whose sum is σ = 1049368320. Its totient is φ = 63452160.

The previous prime is 288982973. The next prime is 288982997. The reversal of 288982980 is 89289882.

It is a super-2 number, since 2×288982980² = 167022325459360800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2651166 + ... + 2651274.

It is an arithmetic number, because the mean of its divisors is an integer number (3643640).

Almost surely, 2^288982980 is an apocalyptic number.

288982980 is a gapful number since it is divisible by the number (20) 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 288982980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524684160).

288982980 is an abundant number, since it is smaller than the sum of its proper divisors (760385340).

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

288982980 is a wasteful number, since it uses less digits than its factorization.

288982980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 288982980 is about 16999.4994043942. The cubic root of 288982980 is about 661.1359226356.

It can be divided in two parts, 28898 and 2980, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 288982980 in words is "two hundred eighty-eight million, nine hundred eighty-two thousand, nine hundred eighty".