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5628744400 = 245231453931
BaseRepresentation
bin1010011110111111…
…11101001011010000
3112112021110211201211
411033133331023100
543011424310100
62330311305504
7256325352346
oct51737751320
915467424654
105628744400
112429308a84
12111107b294
136b91acab6
143b57ab996
1522e2511ba
hex14f7fd2d0

5628744400 has 60 divisors (see below), whose sum is σ = 13959316864. Its totient is φ = 2178864000.

The previous prime is 5628744367. The next prime is 5628744463. The reversal of 5628744400 is 44478265.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214566 + ... + 239365.

Almost surely, 25628744400 is an apocalyptic number.

5628744400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5628744400 is an abundant number, since it is smaller than the sum of its proper divisors (8330572464).

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

5628744400 is a wasteful number, since it uses less digits than its factorization.

5628744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453980 (or 453969 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 5628744400 is about 75024.9585138173. The cubic root of 5628744400 is about 1778.8411849013.

The spelling of 5628744400 in words is "five billion, six hundred twenty-eight million, seven hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 453931 907862 1815724 2269655 3631448 4539310 7262896 9078620 11348275 14071861 18157240 22696550 28143722 36314480 45393100 56287444 70359305 90786200 112574888 140718610 181572400 225149776 281437220 351796525 562874440 703593050 1125748880 1407186100 2814372200 5628744400