4213002528 has 144 divisors (see below), whose sum is σ = 13715747136. Its totient is φ = 1201651200.

The previous prime is 4213002503. The next prime is 4213002551. The reversal of 4213002528 is 8252003124.

4213002528 is a `hidden beast` number, since 4 + 2 + 130 + 0 + 2 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1476303 + ... + 1479153.

It is an arithmetic number, because the mean of its divisors is an integer number (95248244).

Almost surely, 2^4213002528 is an apocalyptic number.

4213002528 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 4213002528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857873568).

4213002528 is an abundant number, since it is smaller than the sum of its proper divisors (9502744608).

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

4213002528 is a wasteful number, since it uses less digits than its factorization.

4213002528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4213002528 is about 64907.6461443488. The cubic root of 4213002528 is about 1615.0919031241.

The spelling of 4213002528 in words is "four billion, two hundred thirteen million, two thousand, five hundred twenty-eight".