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28623132440 = 2357214998011
BaseRepresentation
bin11010101010000100…
…100101011100011000
32201212210110210011022
4122222010211130120
5432110010214230
621052125022012
72032210416500
oct325204453430
981783423138
1028623132440
1111159015061
1256699b4908
132912055776
141557638a00
15b27d031e5
hex6aa125718

28623132440 has 96 divisors (see below), whose sum is σ = 75420234000. Its totient is φ = 9747682560.

The previous prime is 28623132409. The next prime is 28623132457. The reversal of 28623132440 is 4423132682.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 28623132440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243035 + ... + 341045.

Almost surely, 228623132440 is an apocalyptic number.

28623132440 is a gapful number since it is divisible by the number (20) 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 28623132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37710117000).

28623132440 is an abundant number, since it is smaller than the sum of its proper divisors (46797101560).

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

28623132440 is a wasteful number, since it uses less digits than its factorization.

28623132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98185 (or 98174 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 28623132440 in words is "twenty-eight billion, six hundred twenty-three million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 149 196 245 280 298 392 490 596 745 980 1043 1192 1490 1960 2086 2980 4172 5215 5960 7301 8344 10430 14602 20860 29204 36505 41720 58408 73010 98011 146020 196022 292040 392044 490055 686077 784088 980110 1372154 1960220 2744308 3430385 3920440 4802539 5488616 6860770 9605078 13721540 14603639 19210156 24012695 27443080 29207278 38420312 48025390 58414556 73018195 96050780 102225473 116829112 146036390 192101560 204450946 292072780 408901892 511127365 584145560 715578311 817803784 1022254730 1431156622 2044509460 2862313244 3577891555 4089018920 5724626488 7155783110 14311566220 28623132440