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428537088 = 2833717521
BaseRepresentation
bin11001100010101…
…111010100000000
31002212100221101000
4121202233110000
51334201141323
6110305012000
713422335160
oct3142572400
91085327330
10428537088
111aa997291
12bb624000
136aa23755
1440cb25a0
152794de43
hex198af500

428537088 has 288 divisors, whose sum is σ = 1536433920. Its totient is φ = 115015680.

The previous prime is 428537063. The next prime is 428537099. The reversal of 428537088 is 880735824.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822268 + ... + 822788.

It is an arithmetic number, because the mean of its divisors is an integer number (5334840).

Almost surely, 2428537088 is an apocalyptic number.

428537088 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 428537088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768216960).

428537088 is an abundant number, since it is smaller than the sum of its proper divisors (1107896832).

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

428537088 is a wasteful number, since it uses less digits than its factorization.

428537088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 428537088 is about 20701.1373600583. The cubic root of 428537088 is about 753.9273031578.

The spelling of 428537088 in words is "four hundred twenty-eight million, five hundred thirty-seven thousand, eighty-eight".