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428860368 = 24322978197
BaseRepresentation
bin11001100011111…
…110001111010000
31002212222100211100
4121203332033100
51334242012433
6110315544400
713425152526
oct3143761720
91085870740
10428860368
11200098162
12bb75b100
136ab07941
1440d58316
15279b4b13
hex198fe3d0

428860368 has 30 divisors (see below), whose sum is σ = 1200213794. Its totient is φ = 142953408.

The previous prime is 428860363. The next prime is 428860373. The reversal of 428860368 is 863068824.

It is a happy number.

428860368 is a `hidden beast` number, since 4 + 288 + 6 + 0 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (428860363) and next prime (428860373).

It can be written as a sum of positive squares in only one way, i.e., 423042624 + 5817744 = 20568^2 + 2412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428860363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1488955 + ... + 1489242.

Almost surely, 2428860368 is an apocalyptic number.

428860368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428860368 is an abundant number, since it is smaller than the sum of its proper divisors (771353426).

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

428860368 is a wasteful number, since it uses less digits than its factorization.

428860368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978211 (or 2978202 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 428860368 is about 20708.9441546400. The cubic root of 428860368 is about 754.1168381772.

The spelling of 428860368 in words is "four hundred twenty-eight million, eight hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2978197 5956394 8934591 11912788 17869182 23825576 26803773 35738364 47651152 53607546 71476728 107215092 142953456 214430184 428860368