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28414894976 = 271356930011
BaseRepresentation
bin11010011101101010…
…001110001110000000
32201100021122020001122
4122131222032032000
5431143203114401
621015325451412
72024101423256
oct323552161600
981307566048
1028414894976
1111061516186
125610110b68
1328aab75c30
141537b105d6
15b148bd21b
hex69da8e380

28414894976 has 64 divisors (see below), whose sum is σ = 61071418800. Its totient is φ = 13091082240.

The previous prime is 28414894943. The next prime is 28414894993. The reversal of 28414894976 is 67949841482.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×284148949762 (a number of 22 digits) contains 22 as substring.

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, 931811 + ... + 961821.

Almost surely, 228414894976 is an apocalyptic number.

28414894976 is a gapful number since it is divisible by the number (26) 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 28414894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30535709400).

28414894976 is an abundant number, since it is smaller than the sum of its proper divisors (32656523824).

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

28414894976 is a wasteful number, since it uses less digits than its factorization.

28414894976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30607 (or 30595 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 62.

The spelling of 28414894976 in words is "twenty-eight billion, four hundred fourteen million, eight hundred ninety-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 569 832 1138 1664 2276 4552 7397 9104 14794 18208 29588 30011 36416 59176 60022 72832 118352 120044 236704 240088 390143 473408 480176 780286 946816 960352 1560572 1920704 3121144 3841408 6242288 12484576 17076259 24969152 34152518 49938304 68305036 136610072 221991367 273220144 443982734 546440288 887965468 1092880576 1775930936 2185761152 3551861872 7103723744 14207447488 28414894976