28362841956000 has 1536 divisors, whose sum is σ = 110812665600000. Its totient is φ = 7021707264000.

The previous prime is 28362841955989. The next prime is 28362841956019. The reversal of 28362841956000 is 65914826382.

28362841956000 is a `hidden beast` number, since 2 + 8 + 3 + 6 + 28 + 4 + 1 + 9 + 5 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54439235740 + ... + 54439236260.

It is an arithmetic number, because the mean of its divisors is an integer number (72143662500).

Almost surely, 2^{28362841956000} is an apocalyptic number.

28362841956000 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 28362841956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55406332800000).

28362841956000 is an abundant number, since it is smaller than the sum of its proper divisors (82449823644000).

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

28362841956000 is a wasteful number, since it uses less digits than its factorization.

28362841956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 28362841956000 in words is "twenty-eight trillion, three hundred sixty-two billion, eight hundred forty-one million, nine hundred fifty-six thousand".