3028528440 has 448 divisors, whose sum is σ = 12021600960. Its totient is φ = 671846400.

The previous prime is 3028528429. The next prime is 3028528453. The reversal of 3028528440 is 448258203.

It is a super-3 number, since 3×3028528440³ (a number of 29 digits) contains 333 as substring.

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 = 3028528395 and 3028528404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7552240 + ... + 7552640.

Almost surely, 2^3028528440 is an apocalyptic number.

3028528440 is a gapful number since it is divisible by the number (30) 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 3028528440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010800480).

3028528440 is an abundant number, since it is smaller than the sum of its proper divisors (8993072520).

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

3028528440 is a wasteful number, since it uses less digits than its factorization.

3028528440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3028528440 is about 55032.0673789383. The cubic root of 3028528440 is about 1446.8068360955.

The spelling of 3028528440 in words is "three billion, twenty-eight million, five hundred twenty-eight thousand, four hundred forty".