28535652000 has 480 divisors, whose sum is σ = 108382594320. Its totient is φ = 7344691200.

The previous prime is 28535651987. The next prime is 28535652001. The reversal of 28535652000 is 25653582.

It is a happy number.

28535652000 is a `hidden beast` number, since 2 + 85 + 3 + 56 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4000815504 + 24534836496 = 63252^2 + 156636^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28535652001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 9394482 + ... + 9397518.

Almost surely, 2^28535652000 is an apocalyptic number.

28535652000 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 28535652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54191297160).

28535652000 is an abundant number, since it is smaller than the sum of its proper divisors (79846942320).

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

28535652000 is a wasteful number, since it uses less digits than its factorization.

28535652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 28535652000 in words is "twenty-eight billion, five hundred thirty-five million, six hundred fifty-two thousand".