4601928672 has 288 divisors, whose sum is σ = 15065616384. Its totient is φ = 1319500800.

The previous prime is 4601928659. The next prime is 4601928691. The reversal of 4601928672 is 2768291064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4615278 + ... + 4616274.

It is an arithmetic number, because the mean of its divisors is an integer number (52311168).

Almost surely, 2^4601928672 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 4601928672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7532808192).

4601928672 is an abundant number, since it is smaller than the sum of its proper divisors (10463687712).

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

4601928672 is a wasteful number, since it uses less digits than its factorization.

4601928672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4601928672 is about 67837.5166998321. The cubic root of 4601928672 is about 1663.3358997805.

It can be divided in two parts, 460192 and 8672, that added together give a palindrome (468864).

The spelling of 4601928672 in words is "four billion, six hundred one million, nine hundred twenty-eight thousand, six hundred seventy-two".