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428106572320 = 2557382238011
BaseRepresentation
bin1100011101011010010…
…00111110001000100000
31111221000111001011212211
412032231020332020200
524003230240303240
6524400333331504
742633610552360
oct6165510761040
91457014034784
10428106572320
11155616aaa169
126ab78036b94
13314a766121b
1416a12d749a0
15b2091b1bea
hex63ad23e220

428106572320 has 48 divisors (see below), whose sum is σ = 1155887748288. Its totient is φ = 146779395840.

The previous prime is 428106572297. The next prime is 428106572329. The reversal of 428106572320 is 23275601824.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (428106572329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191117886 + ... + 191120125.

It is an arithmetic number, because the mean of its divisors is an integer number (24080994756).

Almost surely, 2428106572320 is an apocalyptic number.

428106572320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428106572320 is an abundant number, since it is smaller than the sum of its proper divisors (727781175968).

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

428106572320 is a wasteful number, since it uses less digits than its factorization.

428106572320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382238033 (or 382238025 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 428106572320 in words is "four hundred twenty-eight billion, one hundred six million, five hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 382238011 764476022 1528952044 1911190055 2675666077 3057904088 3822380110 5351332154 6115808176 7644760220 10702664308 12231616352 13378330385 15289520440 21405328616 26756660770 30579040880 42810657232 53513321540 61158081760 85621314464 107026643080 214053286160 428106572320