2528528448 has 112 divisors (see below), whose sum is σ = 6861291840. Its totient is φ = 821551104.

The previous prime is 2528528411. The next prime is 2528528491. The reversal of 2528528448 is 8448258252.

It is a super-2 number, since 2×2528528448² = 12786912224690577408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2528528397 and 2528528406.

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, 1246411 + ... + 1248437.

Almost surely, 2^2528528448 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 2528528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430645920).

2528528448 is an abundant number, since it is smaller than the sum of its proper divisors (4332763392).

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

2528528448 is a wasteful number, since it uses less digits than its factorization.

2528528448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2194 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 48.

The square root of 2528528448 is about 50284.4752185006. The cubic root of 2528528448 is about 1362.3518360672.

The spelling of 2528528448 in words is "two billion, five hundred twenty-eight million, five hundred twenty-eight thousand, four hundred forty-eight".