288142500 has 120 divisors (see below), whose sum is σ = 850577728. Its totient is φ = 75888000.

The previous prime is 288142493. The next prime is 288142507. The reversal of 288142500 is 5241882.

It is an interprime number because it is at equal distance from previous prime (288142493) and next prime (288142507).

It is a super-2 number, since 2×288142500² = 166052200612500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (288142507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 772314 + ... + 772686.

Almost surely, 2^288142500 is an apocalyptic number.

288142500 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 288142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425288864).

288142500 is an abundant number, since it is smaller than the sum of its proper divisors (562435228).

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

288142500 is a wasteful number, since it uses less digits than its factorization.

288142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 288142500 is about 16974.7606757798. The cubic root of 288142500 is about 660.4943495591.

The spelling of 288142500 in words is "two hundred eighty-eight million, one hundred forty-two thousand, five hundred".