428840552448 has 1728 divisors, whose sum is σ = 1744622530560. Its totient is φ = 102120652800.

The previous prime is 428840552423. The next prime is 428840552449. The reversal of 428840552448 is 844255048824.

428840552448 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 40 + 552 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 428840552394 and 428840552403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428840552449) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13833566193 + ... + 13833566223.

It is an arithmetic number, because the mean of its divisors is an integer number (1009619520).

Almost surely, 2^428840552448 is an apocalyptic number.

428840552448 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 428840552448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872311265280).

428840552448 is an abundant number, since it is smaller than the sum of its proper divisors (1315781978112).

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

428840552448 is a wasteful number, since it uses less digits than its factorization.

428840552448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 13107200, while the sum is 54.

The spelling of 428840552448 in words is "four hundred twenty-eight billion, eight hundred forty million, five hundred fifty-two thousand, four hundred forty-eight".