28733285952 has 896 divisors, whose sum is σ = 108720128000. Its totient is φ = 7255941120.

The previous prime is 28733285951. The next prime is 28733285953. The reversal of 28733285952 is 25958233782.

It is a happy number.

28733285952 is a `hidden beast` number, since 28 + 7 + 3 + 3 + 28 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (28733285951) and next prime (28733285953).

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

Its product of digits (7257600) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (28733285951) 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 127 ways as a sum of consecutive naturals, for example, 263608074 + ... + 263608182.

Almost surely, 2^28733285952 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 28733285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54360064000).

28733285952 is an abundant number, since it is smaller than the sum of its proper divisors (79986842048).

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

28733285952 is a wasteful number, since it uses less digits than its factorization.

28733285952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 28733285952 in words is "twenty-eight billion, seven hundred thirty-three million, two hundred eighty-five thousand, nine hundred fifty-two".