1480122828 has 96 divisors (see below), whose sum is σ = 3906022400. Its totient is φ = 484615872.

The previous prime is 1480122817. The next prime is 1480122883. The reversal of 1480122828 is 8282210841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1480122792 and 1480122801.

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, 2414250 + ... + 2414862.

Almost surely, 2^1480122828 is an apocalyptic number.

1480122828 is a gapful number since it is divisible by the number (18) 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 1480122828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953011200).

1480122828 is an abundant number, since it is smaller than the sum of its proper divisors (2425899572).

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

1480122828 is a wasteful number, since it uses less digits than its factorization.

1480122828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1480122828 is about 38472.3644711369. The cubic root of 1480122828 is about 1139.6353681486.

The spelling of 1480122828 in words is "one billion, four hundred eighty million, one hundred twenty-two thousand, eight hundred twenty-eight".