4537628144 has 120 divisors (see below), whose sum is σ = 10682575200. Its totient is φ = 1859397120.

The previous prime is 4537628143. The next prime is 4537628153. The reversal of 4537628144 is 4418267354.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4537628095 and 4537628104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4537628143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2477309 + ... + 2479139.

It is an arithmetic number, because the mean of its divisors is an integer number (89021460).

Almost surely, 2^4537628144 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 4537628144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341287600).

4537628144 is an abundant number, since it is smaller than the sum of its proper divisors (6144947056).

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

4537628144 is a wasteful number, since it uses less digits than its factorization.

4537628144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1978 counting only the distinct ones).

The product of its digits is 645120, while the sum is 44.

The square root of 4537628144 is about 67361.9190938025. The cubic root of 4537628144 is about 1655.5525388318.

The spelling of 4537628144 in words is "four billion, five hundred thirty-seven million, six hundred twenty-eight thousand, one hundred forty-four".