28452261600 has 864 divisors, whose sum is σ = 120282926400. Its totient is φ = 6322176000.

The previous prime is 28452261581. The next prime is 28452261613. The reversal of 28452261600 is 616225482.

It is a happy number.

28452261600 is a `hidden beast` number, since 2 + 8 + 45 + 2 + 2 + 6 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101253460 + ... + 101253740.

It is an arithmetic number, because the mean of its divisors is an integer number (139216350).

Almost surely, 2^28452261600 is an apocalyptic number.

28452261600 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 28452261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60141463200).

28452261600 is an abundant number, since it is smaller than the sum of its proper divisors (91830664800).

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

28452261600 is a wasteful number, since it uses less digits than its factorization.

28452261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 28452261600 in words is "twenty-eight billion, four hundred fifty-two million, two hundred sixty-one thousand, six hundred".