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5430787328 = 28193136017
BaseRepresentation
bin1010000111011001…
…10011110100000000
3112000110222120200102
411003230303310000
542110240143303
62254520341532
7251402634131
oct50354636400
915013876612
105430787328
1123375a099a
1210769148a8
1368718c635
1439739bc88
1521bb9c288
hex143b33d00

5430787328 has 72 divisors (see below), whose sum is σ = 11779326720. Its totient is φ = 2489425920.

The previous prime is 5430787303. The next prime is 5430787363. The reversal of 5430787328 is 8237870345.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132776 + ... + 168792.

It is an arithmetic number, because the mean of its divisors is an integer number (163601760).

Almost surely, 25430787328 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 5430787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889663360).

5430787328 is an abundant number, since it is smaller than the sum of its proper divisors (6348539392).

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

5430787328 is a wasteful number, since it uses less digits than its factorization.

5430787328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36083 (or 36069 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The square root of 5430787328 is about 73693.8757835412. The cubic root of 5430787328 is about 1757.7385003051.

The spelling of 5430787328 in words is "five billion, four hundred thirty million, seven hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 589 608 992 1178 1216 1984 2356 2432 3968 4712 4864 7936 9424 18848 36017 37696 72034 75392 144068 150784 288136 576272 684323 1116527 1152544 1368646 2233054 2305088 2737292 4466108 4610176 5474584 8932216 9220352 10949168 17864432 21214013 21898336 35728864 42428026 43796672 71457728 84856052 87593344 142915456 169712104 175186688 285830912 339424208 678848416 1357696832 2715393664 5430787328