4616928 has 144 divisors (see below), whose sum is σ = 14859936. Its totient is φ = 1351680.

The previous prime is 4616893. The next prime is 4616929. The reversal of 4616928 is 8296164.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4616892 and 4616901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4616929) 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, 112588 + ... + 112628.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

Almost surely, 2^4616928 is an apocalyptic number.

4616928 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 4616928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429968).

4616928 is an abundant number, since it is smaller than the sum of its proper divisors (10243008).

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

4616928 is a wasteful number, since it uses less digits than its factorization.

4616928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 86 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4616928 is about 2148.7037953147. The cubic root of 4616928 is about 166.5141075079.

It can be divided in two parts, 46 and 16928, that multiplied together give a cube (778688 = 92³).

The spelling of 4616928 in words is "four million, six hundred sixteen thousand, nine hundred twenty-eight".