235428938035200 has 3276 divisors, whose sum is σ = 1096736529817488. Its totient is φ = 49662885888000.

The previous prime is 235428938035183. The next prime is 235428938035201. The reversal of 235428938035200 is 2530839824532.

235428938035200 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 2 + 89 + 38 + 0 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3276).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (235428938035201) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 47551792725 + ... + 47551797675.

Almost surely, 2^{235428938035200} is an apocalyptic number.

235428938035200 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 235428938035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548368264908744).

235428938035200 is an abundant number, since it is smaller than the sum of its proper divisors (861307591782288).

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

235428938035200 is an equidigital number, since it uses as much as digits as its factorization.

235428938035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 235428938035200 in words is "two hundred thirty-five trillion, four hundred twenty-eight billion, nine hundred thirty-eight million, thirty-five thousand, two hundred".