288977220 has 240 divisors, whose sum is σ = 1097712000. Its totient is φ = 62125056.

The previous prime is 288977189. The next prime is 288977263. The reversal of 288977220 is 22779882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192031 + ... + 193529.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^288977220 is an apocalyptic number.

288977220 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 288977220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548856000).

288977220 is an abundant number, since it is smaller than the sum of its proper divisors (808734780).

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

288977220 is a wasteful number, since it uses less digits than its factorization.

288977220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 288977220 is about 16999.3299867965. The cubic root of 288977220 is about 661.1315300260.

The spelling of 288977220 in words is "two hundred eighty-eight million, nine hundred seventy-seven thousand, two hundred twenty".