28357632000 has 672 divisors, whose sum is σ = 108844195824. Its totient is φ = 7077888000.

The previous prime is 28357631971. The next prime is 28357632047. The reversal of 28357632000 is 23675382.

28357632000 is a `hidden beast` number, since 2 + 83 + 576 + 3 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4460544 + 28353171456 = 2112^2 + 168384^2 .

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 156671910 + ... + 156672090.

Almost surely, 2^28357632000 is an apocalyptic number.

28357632000 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 28357632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54422097912).

28357632000 is an abundant number, since it is smaller than the sum of its proper divisors (80486563824).

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

28357632000 is a wasteful number, since it uses less digits than its factorization.

28357632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 28357632000 in words is "twenty-eight billion, three hundred fifty-seven million, six hundred thirty-two thousand".