1028628480 has 224 divisors, whose sum is σ = 3595347648. Its totient is φ = 249036800.

The previous prime is 1028628451. The next prime is 1028628493. The reversal of 1028628480 is 848268201.

It is a super-2 number, since 2×1028628480² = 2116153099734220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351300 + ... + 1352060.

Almost surely, 2^1028628480 is an apocalyptic number.

1028628480 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 1028628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797673824).

1028628480 is an abundant number, since it is smaller than the sum of its proper divisors (2566719168).

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

1028628480 is an equidigital number, since it uses as much as digits as its factorization.

1028628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 1028628480 is about 32072.2384625707. The cubic root of 1028628480 is about 1009.4531824216.

The spelling of 1028628480 in words is "one billion, twenty-eight million, six hundred twenty-eight thousand, four hundred eighty".