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628452864 = 2933132269
BaseRepresentation
bin100101011101010…
…110111000000000
31121210112201021000
4211131112320000
52241340442424
6142205532000
721400522044
oct4535267000
91553481230
10628452864
112a2821a36
12156574000
13a027b600
145d672024
153a28d3c9
hex25756e00

628452864 has 240 divisors, whose sum is σ = 2021857200. Its totient is φ = 192651264.

The previous prime is 628452833. The next prime is 628452883. The reversal of 628452864 is 468254826.

628452864 is a `hidden beast` number, since 62 + 8 + 4 + 528 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2336122 + ... + 2336390.

It is an arithmetic number, because the mean of its divisors is an integer number (8424405).

Almost surely, 2628452864 is an apocalyptic number.

628452864 is a gapful number since it is divisible by the number (64) 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 628452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010928600).

628452864 is an abundant number, since it is smaller than the sum of its proper divisors (1393404336).

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

628452864 is a wasteful number, since it uses less digits than its factorization.

628452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 287 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 628452864 is about 25068.9621643976. The cubic root of 628452864 is about 856.5595665861.

The spelling of 628452864 in words is "six hundred twenty-eight million, four hundred fifty-two thousand, eight hundred sixty-four".