54028353600 has 567 divisors, whose sum is σ = 209342215173. Its totient is φ = 13210030080.

The previous prime is 54028353593. The next prime is 54028353653. The reversal of 54028353600 is 635382045.

It is a happy number.

The square root of 54028353600 is 232440.

It is a perfect power (a square), and thus also a powerful number.

54028353600 is a `hidden beast` number, since 5 + 40 + 2 + 8 + 3 + 5 + 3 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 52236016704 + 1792336896 = 228552^2 + 42336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 362606326 + ... + 362606474.

Almost surely, 2^54028353600 is an apocalyptic number.

54028353600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54028353600 is the 232440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54028353600

54028353600 is an abundant number, since it is smaller than the sum of its proper divisors (155313861573).

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

54028353600 is a wasteful number, since it uses less digits than its factorization.

54028353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 54028353600 by its sum of digits (36), we get a square (1945020729600 = 1394640²).

54028353600 divided by its sum of digits (36) gives a square (1500787600 = 38740²).

The spelling of 54028353600 in words is "fifty-four billion, twenty-eight million, three hundred fifty-three thousand, six hundred".