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628423488 = 26337114723
BaseRepresentation
bin100101011101001…
…111101101000000
31121210111012222000
4211131033231000
52241334022423
6142205144000
721400340310
oct4535175500
91553435860
10628423488
112a2801960
1215655b000
13a026b124
145d665440
153a284843
hex2574fb40

628423488 has 224 divisors, whose sum is σ = 2303800320. Its totient is φ = 163192320.

The previous prime is 628423483. The next prime is 628423501. The reversal of 628423488 is 884324826.

628423488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×6284234882 = 789832160540172288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628423483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130695 + ... + 135417.

Almost surely, 2628423488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151900160).

628423488 is an abundant number, since it is smaller than the sum of its proper divisors (1675376832).

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

628423488 is a wasteful number, since it uses less digits than its factorization.

628423488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4746 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 628423488 is about 25068.3762537584. The cubic root of 628423488 is about 856.5462202200.

The spelling of 628423488 in words is "six hundred twenty-eight million, four hundred twenty-three thousand, four hundred eighty-eight".