4197006528 has 224 divisors, whose sum is σ = 13235830272. Its totient is φ = 1156915200.

The previous prime is 4197006503. The next prime is 4197006547. The reversal of 4197006528 is 8256007914.

It is a super-2 number, since 2×4197006528² = 35229727592149229568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4197006528.

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, 1948300 + ... + 1950452.

It is an arithmetic number, because the mean of its divisors is an integer number (59088528).

Almost surely, 2^4197006528 is an apocalyptic number.

4197006528 is a gapful number since it is divisible by the number (48) 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 4197006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617915136).

4197006528 is an abundant number, since it is smaller than the sum of its proper divisors (9038823744).

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

4197006528 is a wasteful number, since it uses less digits than its factorization.

4197006528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 4197006528 is about 64784.3077295729. The cubic root of 4197006528 is about 1613.0452411540.

The spelling of 4197006528 in words is "four billion, one hundred ninety-seven million, six thousand, five hundred twenty-eight".