28633299552 has 288 divisors, whose sum is σ = 98658725760. Its totient is φ = 8008865280.

The previous prime is 28633299551. The next prime is 28633299577. The reversal of 28633299552 is 25599233682.

28633299552 is a `hidden beast` number, since 2 + 8 + 63 + 3 + 29 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28633299551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1597263 + ... + 1615089.

It is an arithmetic number, because the mean of its divisors is an integer number (342565020).

Almost surely, 2^28633299552 is an apocalyptic number.

28633299552 is a gapful number since it is divisible by the number (22) 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 28633299552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49329362880).

28633299552 is an abundant number, since it is smaller than the sum of its proper divisors (70025426208).

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

28633299552 is a wasteful number, since it uses less digits than its factorization.

28633299552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17883 (or 17856 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 28633299552 in words is "twenty-eight billion, six hundred thirty-three million, two hundred ninety-nine thousand, five hundred fifty-two".