4628435532 has 72 divisors (see below), whose sum is σ = 12968202240. Its totient is φ = 1279746720.

The previous prime is 4628435519. The next prime is 4628435597. The reversal of 4628435532 is 2355348264.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108732 + ... + 145187.

It is an arithmetic number, because the mean of its divisors is an integer number (180113920).

Almost surely, 2^4628435532 is an apocalyptic number.

4628435532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4628435532 is an abundant number, since it is smaller than the sum of its proper divisors (8339766708).

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

4628435532 is a wasteful number, since it uses less digits than its factorization.

4628435532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253971 (or 253962 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 4628435532 is about 68032.6063884076. The cubic root of 4628435532 is about 1666.5233626298.

The spelling of 4628435532 in words is "four billion, six hundred twenty-eight million, four hundred thirty-five thousand, five hundred thirty-two".