428007552 has 288 divisors, whose sum is σ = 1414662480. Its totient is φ = 114250752.

The previous prime is 428007533. The next prime is 428007557. The reversal of 428007552 is 255700824.

It is not an unprimeable number, because it can be changed into a prime (428007557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9953643 + ... + 9953685.

Almost surely, 2^428007552 is an apocalyptic number.

428007552 is a gapful number since it is divisible by the number (42) 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 428007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707331240).

428007552 is an abundant number, since it is smaller than the sum of its proper divisors (986654928).

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

428007552 is a wasteful number, since it uses less digits than its factorization.

428007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 428007552 is about 20688.3433846212. The cubic root of 428007552 is about 753.6166367737.

The spelling of 428007552 in words is "four hundred twenty-eight million, seven thousand, five hundred fifty-two".