4965428952 has 448 divisors, whose sum is σ = 16785856800. Its totient is φ = 1358622720.

The previous prime is 4965428947. The next prime is 4965428953. The reversal of 4965428952 is 2598245694.

4965428952 is a `hidden beast` number, since 4 + 9 + 6 + 542 + 8 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965428953) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31626858 + ... + 31627014.

Almost surely, 2^4965428952 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 4965428952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392928400).

4965428952 is an abundant number, since it is smaller than the sum of its proper divisors (11820427848).

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

4965428952 is a wasteful number, since it uses less digits than its factorization.

4965428952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 4965428952 is about 70465.7998748329. The cubic root of 4965428952 is about 1706.0257845213.

It can be divided in two parts, 49654 and 28952, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 4965428952 in words is "four billion, nine hundred sixty-five million, four hundred twenty-eight thousand, nine hundred fifty-two".