1028611584000 has 2496 divisors, whose sum is σ = 5000945983488. Its totient is φ = 196411392000.

The previous prime is 1028611583959. The next prime is 1028611584023. The reversal of 1028611584000 is 4851168201.

1028611584000 is a `hidden beast` number, since 10 + 2 + 8 + 61 + 1 + 584 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4612607889 + ... + 4612608111.

It is an arithmetic number, because the mean of its divisors is an integer number (2003584128).

Almost surely, 2^{1028611584000} is an apocalyptic number.

1028611584000 is a gapful number since it is divisible by the number (10) 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 1028611584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500472991744).

1028611584000 is an abundant number, since it is smaller than the sum of its proper divisors (3972334399488).

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

1028611584000 is a wasteful number, since it uses less digits than its factorization.

1028611584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

It can be divided in two parts, 102861 and 1584000, that added together give a palindrome (1686861).

The spelling of 1028611584000 in words is "one trillion, twenty-eight billion, six hundred eleven million, five hundred eighty-four thousand".