36428700 has 288 divisors, whose sum is σ = 139991040. Its totient is φ = 7084800.

The previous prime is 36428677. The next prime is 36428701. The reversal of 36428700 is 782463.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36428701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438859 + ... + 438941.

It is an arithmetic number, because the mean of its divisors is an integer number (486080).

Almost surely, 2^36428700 is an apocalyptic number.

36428700 is a gapful number since it is divisible by the number (30) 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 36428700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

36428700 is an abundant number, since it is smaller than the sum of its proper divisors (103562340).

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

36428700 is a wasteful number, since it uses less digits than its factorization.

36428700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 36428700 is about 6035.6192722868. The cubic root of 36428700 is about 331.4982380374.

It can be divided in two parts, 36428 and 700, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 36428700 in words is "thirty-six million, four hundred twenty-eight thousand, seven hundred".