73407828 has 48 divisors (see below), whose sum is σ = 185008320. Its totient is φ = 22520064.

The previous prime is 73407821. The next prime is 73407833. The reversal of 73407828 is 82870437.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73407821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88351 + ... + 89177.

It is an arithmetic number, because the mean of its divisors is an integer number (3854340).

Almost surely, 2^73407828 is an apocalyptic number.

73407828 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

73407828 is an abundant number, since it is smaller than the sum of its proper divisors (111600492).

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

73407828 is a wasteful number, since it uses less digits than its factorization.

73407828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 73407828 is about 8567.8368331802. The cubic root of 73407828 is about 418.7107631462.

The spelling of 73407828 in words is "seventy-three million, four hundred seven thousand, eight hundred twenty-eight".