28291032000 has 1512 divisors, whose sum is σ = 133359406128. Its totient is φ = 5878656000.

The previous prime is 28291031963. The next prime is 28291032017. The reversal of 28291032000 is 23019282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2571911995 + ... + 2571912005.

Almost surely, 2^28291032000 is an apocalyptic number.

28291032000 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 28291032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66679703064).

28291032000 is an abundant number, since it is smaller than the sum of its proper divisors (105068374128).

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

28291032000 is an frugal number, since it uses more digits than its factorization.

28291032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 28291032000 in words is "twenty-eight billion, two hundred ninety-one million, thirty-two thousand".