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3528989028 = 22321372412969
BaseRepresentation
bin1101001001011000…
…0001100101100100
3100002221102012212100
43102112001211210
524211410122103
61342102252100
7153310624515
oct32226014544
910087365770
103528989028
111551027764
12825a27030
134431793b6
14256986a0c
15159c365a3
hexd2581964

3528989028 has 72 divisors (see below), whose sum is σ = 9025936920. Its totient is φ = 1162506240.

The previous prime is 3528989021. The next prime is 3528989029. The reversal of 3528989028 is 8209898253.

3528989028 is a `hidden beast` number, since 3 + 528 + 9 + 8 + 90 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160579584 + 3368409444 = 12672^2 + 58038^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3528989021) by changing a digit.

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, 1187128 + ... + 1190096.

It is an arithmetic number, because the mean of its divisors is an integer number (125360235).

Almost surely, 23528989028 is an apocalyptic number.

It is an amenable number.

3528989028 is an abundant number, since it is smaller than the sum of its proper divisors (5496947892).

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

3528989028 is a wasteful number, since it uses less digits than its factorization.

3528989028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 3528989028 is about 59405.2946125175. The cubic root of 3528989028 is about 1522.4747641558.

The spelling of 3528989028 in words is "three billion, five hundred twenty-eight million, nine hundred eighty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 137 241 274 411 482 548 723 822 964 1233 1446 1644 2169 2466 2892 2969 4338 4932 5938 8676 8907 11876 17814 26721 33017 35628 53442 66034 99051 106884 132068 198102 297153 396204 406753 594306 715529 813506 1188612 1220259 1431058 1627012 2146587 2440518 2862116 3660777 4293174 4881036 6439761 7321554 8586348 12879522 14643108 25759044 98027473 196054946 294082419 392109892 588164838 882247257 1176329676 1764494514 3528989028