1480033828 has 108 divisors (see below), whose sum is σ = 3319927380. Its totient is φ = 572189184.

The previous prime is 1480033811. The next prime is 1480033843. The reversal of 1480033828 is 8283300841.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 1479017764 = 1008^2 + 38458^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13578238 + ... + 13578346.

Almost surely, 2^1480033828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480033828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659963690).

1480033828 is an abundant number, since it is smaller than the sum of its proper divisors (1839893552).

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

1480033828 is a wasteful number, since it uses less digits than its factorization.

1480033828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 1480033828 is about 38471.2077793250. The cubic root of 1480033828 is about 1139.6125255441.

The spelling of 1480033828 in words is "one billion, four hundred eighty million, thirty-three thousand, eight hundred twenty-eight".