1028496000 has 256 divisors, whose sum is σ = 3897803520. Its totient is φ = 235008000.

The previous prime is 1028495999. The next prime is 1028496017. The reversal of 1028496000 is 6948201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334470 + ... + 337530.

It is an arithmetic number, because the mean of its divisors is an integer number (15225795).

Almost surely, 2^1028496000 is an apocalyptic number.

1028496000 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 1028496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948901760).

1028496000 is an abundant number, since it is smaller than the sum of its proper divisors (2869307520).

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

1028496000 is an equidigital number, since it uses as much as digits as its factorization.

1028496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1028496000 is about 32070.1730584666. The cubic root of 1028496000 is about 1009.4098437748.

The spelling of 1028496000 in words is "one billion, twenty-eight million, four hundred ninety-six thousand".