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28749703320000 = 26325413192911149
BaseRepresentation
bin1101000100101110011111…
…10110101001000111000000
310202210110000020220120102200
412202113033312221013000
512232013343022220000
6141051233102113200
76025045310066145
oct642271766510700
9122713006816380
1028749703320000
119184754025933
123283a7557b800
1313071157a9c40
147156c8d843cc
1534cca4693500
hex1a25cfda91c0

28749703320000 has 1680 divisors, whose sum is σ = 120768107460000. Its totient is φ = 6472617984000.

The previous prime is 28749703319963. The next prime is 28749703320043. The reversal of 28749703320000 is 2330794782.

28749703320000 is a `hidden beast` number, since 287 + 49 + 7 + 0 + 3 + 320 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2578674426 + ... + 2578685574.

It is an arithmetic number, because the mean of its divisors is an integer number (71885778250).

Almost surely, 228749703320000 is an apocalyptic number.

28749703320000 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 28749703320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60384053730000).

28749703320000 is an abundant number, since it is smaller than the sum of its proper divisors (92018404140000).

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

28749703320000 is a wasteful number, since it uses less digits than its factorization.

28749703320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11248 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 28749703320000 in words is "twenty-eight trillion, seven hundred forty-nine billion, seven hundred three million, three hundred twenty thousand".