28245726000 has 640 divisors, whose sum is σ = 105967979520. Its totient is φ = 7185024000.

The previous prime is 28245725987. The next prime is 28245726073. The reversal of 28245726000 is 62754282.

28245726000 is a `hidden beast` number, since 2 + 8 + 2 + 45 + 7 + 2 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133865895 + ... + 133866105.

It is an arithmetic number, because the mean of its divisors is an integer number (165574968).

Almost surely, 2^28245726000 is an apocalyptic number.

28245726000 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 28245726000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52983989760).

28245726000 is an abundant number, since it is smaller than the sum of its proper divisors (77722253520).

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

28245726000 is a wasteful number, since it uses less digits than its factorization.

28245726000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 28245726000 in words is "twenty-eight billion, two hundred forty-five million, seven hundred twenty-six thousand".