1028247750432 has 864 divisors, whose sum is σ = 3666137739264. Its totient is φ = 282371443200.

The previous prime is 1028247750427. The next prime is 1028247750433. The reversal of 1028247750432 is 2340577428201.

1028247750432 is a `hidden beast` number, since 1 + 0 + 28 + 24 + 77 + 504 + 32 = 666.

1028247750432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (1028247750433) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3106488507 + ... + 3106488837.

It is an arithmetic number, because the mean of its divisors is an integer number (4243214976).

Almost surely, 2^{1028247750432} is an apocalyptic number.

1028247750432 is a gapful number since it is divisible by the number (12) 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 1028247750432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833068869632).

1028247750432 is an abundant number, since it is smaller than the sum of its proper divisors (2637889988832).

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

1028247750432 is a wasteful number, since it uses less digits than its factorization.

1028247750432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 1028247750432 in words is "one trillion, twenty-eight billion, two hundred forty-seven million, seven hundred fifty thousand, four hundred thirty-two".