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428007888 = 24347114289
BaseRepresentation
bin11001100000101…
…110000111010000
31002211101001110000
4121200232013100
51334032223023
6110245410000
713415002260
oct3140560720
91084331400
10428007888
111aa665730
12bb409900
136a899909
1440bb57a0
1527897243
hex1982e1d0

428007888 has 200 divisors, whose sum is σ = 1544811840. Its totient is φ = 111144960.

The previous prime is 428007871. The next prime is 428007893. The reversal of 428007888 is 888700824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97648 + ... + 101936.

Almost surely, 2428007888 is an apocalyptic number.

428007888 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 428007888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772405920).

428007888 is an abundant number, since it is smaller than the sum of its proper divisors (1116803952).

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

428007888 is a wasteful number, since it uses less digits than its factorization.

428007888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 428007888 is about 20688.3515051345. The cubic root of 428007888 is about 753.6168339783.

The spelling of 428007888 in words is "four hundred twenty-eight million, seven thousand, eight hundred eighty-eight".