1028952000 has 336 divisors, whose sum is σ = 3807707904. Its totient is φ = 264960000.

The previous prime is 1028951977. The next prime is 1028952037. The reversal of 1028952000 is 2598201.

1028952000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231770 + ... + 2232230.

It is an arithmetic number, because the mean of its divisors is an integer number (11332464).

Almost surely, 2^1028952000 is an apocalyptic number.

1028952000 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 1028952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903853952).

1028952000 is an abundant number, since it is smaller than the sum of its proper divisors (2778755904).

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

1028952000 is a wasteful number, since it uses less digits than its factorization.

1028952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1028952000 is about 32077.2816803419. The cubic root of 1028952000 is about 1009.5590010166.

The spelling of 1028952000 in words is "one billion, twenty-eight million, nine hundred fifty-two thousand".