4454628048 has 400 divisors, whose sum is σ = 14942543616. Its totient is φ = 1269043200.

The previous prime is 4454628047. The next prime is 4454628067. The reversal of 4454628048 is 8408264544.

4454628048 is a `hidden beast` number, since 44 + 546 + 28 + 0 + 48 = 666.

It is a Cunningham number, because it is equal to 66743²-1.

It is a super-2 number, since 2×4454628048² = 39687422092056580608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4454627994 and 4454628012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4454628047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29500773 + ... + 29500923.

Almost surely, 2^4454628048 is an apocalyptic number.

4454628048 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 4454628048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471271808).

4454628048 is an abundant number, since it is smaller than the sum of its proper divisors (10487915568).

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

4454628048 is a wasteful number, since it uses less digits than its factorization.

4454628048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The square root of 4454628048 is about 66742.9999925086. Note that the first 5 decimals coincide. The cubic root of 4454628048 is about 1645.3961713068.

The spelling of 4454628048 in words is "four billion, four hundred fifty-four million, six hundred twenty-eight thousand, forty-eight".