28882526400 has 1680 divisors, whose sum is σ = 136586813440. Its totient is φ = 5822668800.

The previous prime is 28882526399. The next prime is 28882526401. The reversal of 28882526400 is 462528882.

28882526400 is a `hidden beast` number, since 2 + 8 + 8 + 82 + 526 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28882526399) and next prime (28882526401).

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (28882526401) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 365601561 + ... + 365601639.

Almost surely, 2^28882526400 is an apocalyptic number.

28882526400 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 28882526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68293406720).

28882526400 is an abundant number, since it is smaller than the sum of its proper divisors (107704287040).

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

28882526400 is a wasteful number, since it uses less digits than its factorization.

28882526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 28882526400 in words is "twenty-eight billion, eight hundred eighty-two million, five hundred twenty-six thousand, four hundred".