59428688400 has 405 divisors, whose sum is σ = 219999568711. Its totient is φ = 14853027840.

The previous prime is 59428688339. The next prime is 59428688401. The reversal of 59428688400 is 488682495.

The square root of 59428688400 is 243780.

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

59428688400 is a `hidden beast` number, since 594 + 2 + 8 + 6 + 8 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1390096656 + 58038591744 = 37284^2 + 240912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59428688401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 248655481 + ... + 248655719.

Almost surely, 2^59428688400 is an apocalyptic number.

59428688400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

59428688400 is the 243780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59428688400

59428688400 is an abundant number, since it is smaller than the sum of its proper divisors (160570880311).

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

59428688400 is a wasteful number, since it uses less digits than its factorization.

59428688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 59428688400 in words is "fifty-nine billion, four hundred twenty-eight million, six hundred eighty-eight thousand, four hundred".