1028464000 has 64 divisors (see below), whose sum is σ = 2557058400. Its totient is φ = 411379200.

The previous prime is 1028463983. The next prime is 1028464009. The reversal of 1028464000 is 4648201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028464009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16140 + ... + 48139.

Almost surely, 2^1028464000 is an apocalyptic number.

1028464000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028464000 is an abundant number, since it is smaller than the sum of its proper divisors (1528594400).

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

1028464000 is an frugal number, since it uses more digits than its factorization.

1028464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64308 (or 64286 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 1028464000 is about 32069.6741486408. The cubic root of 1028464000 is about 1009.3993749445.

The spelling of 1028464000 in words is "one billion, twenty-eight million, four hundred sixty-four thousand".