4628120448 has 128 divisors (see below), whose sum is σ = 14503127040. Its totient is φ = 1279641600.

The previous prime is 4628120429. The next prime is 4628120449. The reversal of 4628120448 is 8440218264.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628120449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55558 + ... + 111098.

It is an arithmetic number, because the mean of its divisors is an integer number (113305680).

Almost surely, 2^4628120448 is an apocalyptic number.

4628120448 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 4628120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251563520).

4628120448 is an abundant number, since it is smaller than the sum of its proper divisors (9875006592).

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

4628120448 is a wasteful number, since it uses less digits than its factorization.

4628120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55596 (or 55584 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 4628120448 is about 68030.2906652618. The cubic root of 4628120448 is about 1666.4855451888.

The spelling of 4628120448 in words is "four billion, six hundred twenty-eight million, one hundred twenty thousand, four hundred forty-eight".