28812968352 has 384 divisors, whose sum is σ = 99725230080. Its totient is φ = 7919907840.

The previous prime is 28812968339. The next prime is 28812968369. The reversal of 28812968352 is 25386921882.

It is a happy number.

28812968352 is a `hidden beast` number, since 288 + 1 + 2 + 9 + 6 + 8 + 352 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42559438 + ... + 42560114.

It is an arithmetic number, because the mean of its divisors is an integer number (259701120).

Almost surely, 2^28812968352 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 28812968352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49862615040).

28812968352 is an abundant number, since it is smaller than the sum of its proper divisors (70912261728).

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

28812968352 is a wasteful number, since it uses less digits than its factorization.

28812968352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 947 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 28812968352 in words is "twenty-eight billion, eight hundred twelve million, nine hundred sixty-eight thousand, three hundred fifty-two".