28349352000 has 392 divisors, whose sum is σ = 105284256792. Its totient is φ = 7558272000.

The previous prime is 28349351957. The next prime is 28349352007. The reversal of 28349352000 is 25394382.

It can be written as a sum of positive squares in 4 ways, for example, as 36578304 + 28312773696 = 6048^2 + 168264^2 .

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 (28349352007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5829570 + ... + 5834430.

Almost surely, 2^28349352000 is an apocalyptic number.

28349352000 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 28349352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52642128396).

28349352000 is an abundant number, since it is smaller than the sum of its proper divisors (76934904792).

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

28349352000 is an frugal number, since it uses more digits than its factorization.

28349352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 28349352000 in words is "twenty-eight billion, three hundred forty-nine million, three hundred fifty-two thousand".